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Finding the Fourth Proportional to 522,463.28, 721,007.88 and 296,103.92

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Solution

The fourth proportional to 522,463.28, 721,007.88 and 296,103.92 is: 408,628.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,463.28 : 721,007.88 = 296,103.92 : x
  2. Step 2: Convert to fraction form
    522,463.28/721,007.88 = 296,103.92/x
  3. Step 3: Cross multiply
    522,463.28x = 721,007.88 × 296,103.92
  4. Step 4: Simplify right side
    522,463.28x = 213,493,259,618.89
  5. Step 5: Solve for x
    x = 213,493,259,618.89/522,463.28
  6. Step 6: Final answer
    x = 408,628.26

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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.