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Finding the Fourth Proportional to 386,989.20, 580,308.84 and 137,677.68

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Solution

The fourth proportional to 386,989.20, 580,308.84 and 137,677.68 is: 206,454.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,989.20 : 580,308.84 = 137,677.68 : x
  2. Step 2: Convert to fraction form
    386,989.20/580,308.84 = 137,677.68/x
  3. Step 3: Cross multiply
    386,989.20x = 580,308.84 × 137,677.68
  4. Step 4: Simplify right side
    386,989.20x = 79,895,574,774.69
  5. Step 5: Solve for x
    x = 79,895,574,774.69/386,989.20
  6. Step 6: Final answer
    x = 206,454.28

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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.