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Finding the Fourth Proportional to 664,148.28, 916,761.30 and 392,217.30

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Solution

The fourth proportional to 664,148.28, 916,761.30 and 392,217.30 is: 541,399.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,148.28 : 916,761.30 = 392,217.30 : x
  2. Step 2: Convert to fraction form
    664,148.28/916,761.30 = 392,217.30/x
  3. Step 3: Cross multiply
    664,148.28x = 916,761.30 × 392,217.30
  4. Step 4: Simplify right side
    664,148.28x = 359,569,641,830.49
  5. Step 5: Solve for x
    x = 359,569,641,830.49/664,148.28
  6. Step 6: Final answer
    x = 541,399.64

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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.