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Finding the Fourth Proportional to 1,010,405,499.80, 1,515,608,249.70 and 996,800,610.20

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Solution

The fourth proportional to 1,010,405,499.80, 1,515,608,249.70 and 996,800,610.20 is: 1,495,200,915.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,010,405,499.80 : 1,515,608,249.70 = 996,800,610.20 : x
  2. Step 2: Convert to fraction form
    1,010,405,499.80/1,515,608,249.70 = 996,800,610.20/x
  3. Step 3: Cross multiply
    1,010,405,499.80x = 1,515,608,249.70 × 996,800,610.20
  4. Step 4: Simplify right side
    1,010,405,499.80x = 1,510,759,228,125,114,112
  5. Step 5: Solve for x
    x = 1,510,759,228,125,114,112/1,010,405,499.80
  6. Step 6: Final answer
    x = 1,495,200,915.30

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.