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Finding the Fourth Proportional to 363,322.34, 545,020.67 and 138,871.70

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Solution

The fourth proportional to 363,322.34, 545,020.67 and 138,871.70 is: 208,321.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,322.34 : 545,020.67 = 138,871.70 : x
  2. Step 2: Convert to fraction form
    363,322.34/545,020.67 = 138,871.70/x
  3. Step 3: Cross multiply
    363,322.34x = 545,020.67 × 138,871.70
  4. Step 4: Simplify right side
    363,322.34x = 75,687,946,978.04
  5. Step 5: Solve for x
    x = 75,687,946,978.04/363,322.34
  6. Step 6: Final answer
    x = 208,321.75

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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.