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Finding the Fourth Proportional to 388,691.80, 583,296.90 and 178,221.40

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Solution

The fourth proportional to 388,691.80, 583,296.90 and 178,221.40 is: 267,450.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,691.80 : 583,296.90 = 178,221.40 : x
  2. Step 2: Convert to fraction form
    388,691.80/583,296.90 = 178,221.40/x
  3. Step 3: Cross multiply
    388,691.80x = 583,296.90 × 178,221.40
  4. Step 4: Simplify right side
    388,691.80x = 103,955,990,133.66
  5. Step 5: Solve for x
    x = 103,955,990,133.66/388,691.80
  6. Step 6: Final answer
    x = 267,450.95

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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.