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Finding the Fourth Proportional to 457,345.92, 686,252.80 and 217,730.56

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Solution

The fourth proportional to 457,345.92, 686,252.80 and 217,730.56 is: 326,707.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,345.92 : 686,252.80 = 217,730.56 : x
  2. Step 2: Convert to fraction form
    457,345.92/686,252.80 = 217,730.56/x
  3. Step 3: Cross multiply
    457,345.92x = 686,252.80 × 217,730.56
  4. Step 4: Simplify right side
    457,345.92x = 149,418,206,445.57
  5. Step 5: Solve for x
    x = 149,418,206,445.57/457,345.92
  6. Step 6: Final answer
    x = 326,707.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.