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Finding the Fourth Proportional to 457,336.92, 686,239.38 and 217,721.64

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Solution

The fourth proportional to 457,336.92, 686,239.38 and 217,721.64 is: 326,693.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,336.92 : 686,239.38 = 217,721.64 : x
  2. Step 2: Convert to fraction form
    457,336.92/686,239.38 = 217,721.64/x
  3. Step 3: Cross multiply
    457,336.92x = 686,239.38 × 217,721.64
  4. Step 4: Simplify right side
    457,336.92x = 149,409,163,246.18
  5. Step 5: Solve for x
    x = 149,409,163,246.18/457,336.92
  6. Step 6: Final answer
    x = 326,693.86

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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.