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Finding the Fourth Proportional to 921,781.26, 1,272,063.42 and 513,909

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Solution

The fourth proportional to 921,781.26, 1,272,063.42 and 513,909 is: 709,197.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    921,781.26 : 1,272,063.42 = 513,909 : x
  2. Step 2: Convert to fraction form
    921,781.26/1,272,063.42 = 513,909/x
  3. Step 3: Cross multiply
    921,781.26x = 1,272,063.42 × 513,909
  4. Step 4: Simplify right side
    921,781.26x = 653,724,840,108.78
  5. Step 5: Solve for x
    x = 653,724,840,108.78/921,781.26
  6. Step 6: Final answer
    x = 709,197.36

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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.