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Finding the Fourth Proportional to 524,641,330.80, 786,961,996.20 and 509,524,786.80

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Solution

The fourth proportional to 524,641,330.80, 786,961,996.20 and 509,524,786.80 is: 764,287,180.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,641,330.80 : 786,961,996.20 = 509,524,786.80 : x
  2. Step 2: Convert to fraction form
    524,641,330.80/786,961,996.20 = 509,524,786.80/x
  3. Step 3: Cross multiply
    524,641,330.80x = 786,961,996.20 × 509,524,786.80
  4. Step 4: Simplify right side
    524,641,330.80x = 400,976,643,333,507,456
  5. Step 5: Solve for x
    x = 400,976,643,333,507,456/524,641,330.80
  6. Step 6: Final answer
    x = 764,287,180.20

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Half scale
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Double scale
Find fourth proportional to 524,641,331.80, 786,961,997.70 and 509,524,787.80
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.