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Finding the Fourth Proportional to 522,864, 721,552.32 and 284,400

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Solution

The fourth proportional to 522,864, 721,552.32 and 284,400 is: 392,472

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,864 : 721,552.32 = 284,400 : x
  2. Step 2: Convert to fraction form
    522,864/721,552.32 = 284,400/x
  3. Step 3: Cross multiply
    522,864x = 721,552.32 × 284,400
  4. Step 4: Simplify right side
    522,864x = 205,209,479,808
  5. Step 5: Solve for x
    x = 205,209,479,808/522,864
  6. Step 6: Final answer
    x = 392,472

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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.