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Finding the Fourth Proportional to 385,584.27, 578,265.35 and 132,854.55

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Solution

The fourth proportional to 385,584.27, 578,265.35 and 132,854.55 is: 199,243.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,584.27 : 578,265.35 = 132,854.55 : x
  2. Step 2: Convert to fraction form
    385,584.27/578,265.35 = 132,854.55/x
  3. Step 3: Cross multiply
    385,584.27x = 578,265.35 × 132,854.55
  4. Step 4: Simplify right side
    385,584.27x = 76,825,182,190.57
  5. Step 5: Solve for x
    x = 76,825,182,190.57/385,584.27
  6. Step 6: Final answer
    x = 199,243.56

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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.