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Finding the Fourth Proportional to 506,412, 698,127.26 and 345,060

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Solution

The fourth proportional to 506,412, 698,127.26 and 345,060 is: 475,691.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,412 : 698,127.26 = 345,060 : x
  2. Step 2: Convert to fraction form
    506,412/698,127.26 = 345,060/x
  3. Step 3: Cross multiply
    506,412x = 698,127.26 × 345,060
  4. Step 4: Simplify right side
    506,412x = 240,895,790,610.30
  5. Step 5: Solve for x
    x = 240,895,790,610.30/506,412
  6. Step 6: Final answer
    x = 475,691.32

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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.