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Finding the Fourth Proportional to 363,319.84, 545,016.92 and 138,869.20

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Solution

The fourth proportional to 363,319.84, 545,016.92 and 138,869.20 is: 208,318.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,319.84 : 545,016.92 = 138,869.20 : x
  2. Step 2: Convert to fraction form
    363,319.84/545,016.92 = 138,869.20/x
  3. Step 3: Cross multiply
    363,319.84x = 545,016.92 × 138,869.20
  4. Step 4: Simplify right side
    363,319.84x = 75,686,063,666.86
  5. Step 5: Solve for x
    x = 75,686,063,666.86/363,319.84
  6. Step 6: Final answer
    x = 208,318.00

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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.