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Finding the Fourth Proportional to 922,348, 1,272,840.24 and 519,940

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Solution

The fourth proportional to 922,348, 1,272,840.24 and 519,940 is: 717,517.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    922,348 : 1,272,840.24 = 519,940 : x
  2. Step 2: Convert to fraction form
    922,348/1,272,840.24 = 519,940/x
  3. Step 3: Cross multiply
    922,348x = 1,272,840.24 × 519,940
  4. Step 4: Simplify right side
    922,348x = 661,800,554,385.60
  5. Step 5: Solve for x
    x = 661,800,554,385.60/922,348
  6. Step 6: Final answer
    x = 717,517.20

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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.