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Finding the Fourth Proportional to 649,201.20, 973,801.80 and 205,969.20

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Solution

The fourth proportional to 649,201.20, 973,801.80 and 205,969.20 is: 308,953.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,201.20 : 973,801.80 = 205,969.20 : x
  2. Step 2: Convert to fraction form
    649,201.20/973,801.80 = 205,969.20/x
  3. Step 3: Cross multiply
    649,201.20x = 973,801.80 × 205,969.20
  4. Step 4: Simplify right side
    649,201.20x = 200,573,177,704.56
  5. Step 5: Solve for x
    x = 200,573,177,704.56/649,201.20
  6. Step 6: Final answer
    x = 308,953.80

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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.