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Finding the Fourth Proportional to 515,041,229.70, 772,561,844.55 and 494,952,759.90

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Solution

The fourth proportional to 515,041,229.70, 772,561,844.55 and 494,952,759.90 is: 742,429,139.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,041,229.70 : 772,561,844.55 = 494,952,759.90 : x
  2. Step 2: Convert to fraction form
    515,041,229.70/772,561,844.55 = 494,952,759.90/x
  3. Step 3: Cross multiply
    515,041,229.70x = 772,561,844.55 × 494,952,759.90
  4. Step 4: Simplify right side
    515,041,229.70x = 382,381,617,153,457,216
  5. Step 5: Solve for x
    x = 382,381,617,153,457,216/515,041,229.70
  6. Step 6: Final answer
    x = 742,429,139.85

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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.