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Finding the Fourth Proportional to 218,785.20, 328,177.80 and 165,641.10

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Solution

The fourth proportional to 218,785.20, 328,177.80 and 165,641.10 is: 248,461.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,785.20 : 328,177.80 = 165,641.10 : x
  2. Step 2: Convert to fraction form
    218,785.20/328,177.80 = 165,641.10/x
  3. Step 3: Cross multiply
    218,785.20x = 328,177.80 × 165,641.10
  4. Step 4: Simplify right side
    218,785.20x = 54,359,731,787.58
  5. Step 5: Solve for x
    x = 54,359,731,787.58/218,785.20
  6. Step 6: Final answer
    x = 248,461.65

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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.