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Finding the Fourth Proportional to 238,238.96, 357,358.17 and 185,687.78

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Solution

The fourth proportional to 238,238.96, 357,358.17 and 185,687.78 is: 278,531.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,238.96 : 357,358.17 = 185,687.78 : x
  2. Step 2: Convert to fraction form
    238,238.96/357,358.17 = 185,687.78/x
  3. Step 3: Cross multiply
    238,238.96x = 357,358.17 × 185,687.78
  4. Step 4: Simplify right side
    238,238.96x = 66,357,045,252.16
  5. Step 5: Solve for x
    x = 66,357,045,252.16/238,238.96
  6. Step 6: Final answer
    x = 278,531.46

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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.