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Finding the Fourth Proportional to 361,472.71, 541,638.77 and 133,454.77

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Solution

The fourth proportional to 361,472.71, 541,638.77 and 133,454.77 is: 199,971.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,472.71 : 541,638.77 = 133,454.77 : x
  2. Step 2: Convert to fraction form
    361,472.71/541,638.77 = 133,454.77/x
  3. Step 3: Cross multiply
    361,472.71x = 541,638.77 × 133,454.77
  4. Step 4: Simplify right side
    361,472.71x = 72,284,278,498.78
  5. Step 5: Solve for x
    x = 72,284,278,498.78/361,472.71
  6. Step 6: Final answer
    x = 199,971.61

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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.