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Finding the Fourth Proportional to 811,689, 1,120,127.18 and 467,399.31

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Solution

The fourth proportional to 811,689, 1,120,127.18 and 467,399.31 is: 645,008.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    811,689 : 1,120,127.18 = 467,399.31 : x
  2. Step 2: Convert to fraction form
    811,689/1,120,127.18 = 467,399.31/x
  3. Step 3: Cross multiply
    811,689x = 1,120,127.18 × 467,399.31
  4. Step 4: Simplify right side
    811,689x = 523,546,668,707.25
  5. Step 5: Solve for x
    x = 523,546,668,707.25/811,689
  6. Step 6: Final answer
    x = 645,008.95

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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.