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Finding the Fourth Proportional to 664,407.48, 916,761.60 and 392,519.64

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Solution

The fourth proportional to 664,407.48, 916,761.60 and 392,519.64 is: 541,605.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,407.48 : 916,761.60 = 392,519.64 : x
  2. Step 2: Convert to fraction form
    664,407.48/916,761.60 = 392,519.64/x
  3. Step 3: Cross multiply
    664,407.48x = 916,761.60 × 392,519.64
  4. Step 4: Simplify right side
    664,407.48x = 359,846,933,197.82
  5. Step 5: Solve for x
    x = 359,846,933,197.82/664,407.48
  6. Step 6: Final answer
    x = 541,605.78

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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.