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Finding the Fourth Proportional to 642,655.10, 885,840.95 and 506,470.61

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Solution

The fourth proportional to 642,655.10, 885,840.95 and 506,470.61 is: 698,123.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,655.10 : 885,840.95 = 506,470.61 : x
  2. Step 2: Convert to fraction form
    642,655.10/885,840.95 = 506,470.61/x
  3. Step 3: Cross multiply
    642,655.10x = 885,840.95 × 506,470.61
  4. Step 4: Simplify right side
    642,655.10x = 448,652,399,347.92
  5. Step 5: Solve for x
    x = 448,652,399,347.92/642,655.10
  6. Step 6: Final answer
    x = 698,123.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.