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Finding the Fourth Proportional to 457,333.92, 686,234.88 and 217,718.64

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Solution

The fourth proportional to 457,333.92, 686,234.88 and 217,718.64 is: 326,689.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,333.92 : 686,234.88 = 217,718.64 : x
  2. Step 2: Convert to fraction form
    457,333.92/686,234.88 = 217,718.64/x
  3. Step 3: Cross multiply
    457,333.92x = 686,234.88 × 217,718.64
  4. Step 4: Simplify right side
    457,333.92x = 149,406,124,794.16
  5. Step 5: Solve for x
    x = 149,406,124,794.16/457,333.92
  6. Step 6: Final answer
    x = 326,689.36

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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.