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Finding the Fourth Proportional to 238,678.64, 329,351 and 138,057.84

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Solution

The fourth proportional to 238,678.64, 329,351 and 138,057.84 is: 190,505.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,678.64 : 329,351 = 138,057.84 : x
  2. Step 2: Convert to fraction form
    238,678.64/329,351 = 138,057.84/x
  3. Step 3: Cross multiply
    238,678.64x = 329,351 × 138,057.84
  4. Step 4: Simplify right side
    238,678.64x = 45,469,487,661.84
  5. Step 5: Solve for x
    x = 45,469,487,661.84/238,678.64
  6. Step 6: Final answer
    x = 190,505.06

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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.