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Finding the Fourth Proportional to 922,328, 1,272,812.64 and 519,920

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Solution

The fourth proportional to 922,328, 1,272,812.64 and 519,920 is: 717,489.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    922,328 : 1,272,812.64 = 519,920 : x
  2. Step 2: Convert to fraction form
    922,328/1,272,812.64 = 519,920/x
  3. Step 3: Cross multiply
    922,328x = 1,272,812.64 × 519,920
  4. Step 4: Simplify right side
    922,328x = 661,760,747,788.80
  5. Step 5: Solve for x
    x = 661,760,747,788.80/922,328
  6. Step 6: Final answer
    x = 717,489.60

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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.