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Finding the Fourth Proportional to 238,717, 329,437.76 and 131,295.16

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Solution

The fourth proportional to 238,717, 329,437.76 and 131,295.16 is: 181,191.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,717 : 329,437.76 = 131,295.16 : x
  2. Step 2: Convert to fraction form
    238,717/329,437.76 = 131,295.16/x
  3. Step 3: Cross multiply
    238,717x = 329,437.76 × 131,295.16
  4. Step 4: Simplify right side
    238,717x = 43,253,583,409.24
  5. Step 5: Solve for x
    x = 43,253,583,409.24/238,717
  6. Step 6: Final answer
    x = 181,191.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.