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Finding the Fourth Proportional to 386,748, 580,122 and 137,439.84

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Solution

The fourth proportional to 386,748, 580,122 and 137,439.84 is: 206,159.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,748 : 580,122 = 137,439.84 : x
  2. Step 2: Convert to fraction form
    386,748/580,122 = 137,439.84/x
  3. Step 3: Cross multiply
    386,748x = 580,122 × 137,439.84
  4. Step 4: Simplify right side
    386,748x = 79,731,874,860.48
  5. Step 5: Solve for x
    x = 79,731,874,860.48/386,748
  6. Step 6: Final answer
    x = 206,159.76

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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.