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Finding the Fourth Proportional to 387,352, 581,049.87 and 138,034

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Solution

The fourth proportional to 387,352, 581,049.87 and 138,034 is: 207,058.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,352 : 581,049.87 = 138,034 : x
  2. Step 2: Convert to fraction form
    387,352/581,049.87 = 138,034/x
  3. Step 3: Cross multiply
    387,352x = 581,049.87 × 138,034
  4. Step 4: Simplify right side
    387,352x = 80,204,637,755.58
  5. Step 5: Solve for x
    x = 80,204,637,755.58/387,352
  6. Step 6: Final answer
    x = 207,058.79

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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.