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Finding the Fourth Proportional to 457,338.92, 686,242.38 and 217,723.64

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Solution

The fourth proportional to 457,338.92, 686,242.38 and 217,723.64 is: 326,696.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,338.92 : 686,242.38 = 217,723.64 : x
  2. Step 2: Convert to fraction form
    457,338.92/686,242.38 = 217,723.64/x
  3. Step 3: Cross multiply
    457,338.92x = 686,242.38 × 217,723.64
  4. Step 4: Simplify right side
    457,338.92x = 149,411,188,895.86
  5. Step 5: Solve for x
    x = 149,411,188,895.86/457,338.92
  6. Step 6: Final answer
    x = 326,696.86

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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.