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Finding the Fourth Proportional to 238,832, 329,588.16 and 138,289.28

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Solution

The fourth proportional to 238,832, 329,588.16 and 138,289.28 is: 190,839.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,832 : 329,588.16 = 138,289.28 : x
  2. Step 2: Convert to fraction form
    238,832/329,588.16 = 138,289.28/x
  3. Step 3: Cross multiply
    238,832x = 329,588.16 × 138,289.28
  4. Step 4: Simplify right side
    238,832x = 45,578,509,342.92
  5. Step 5: Solve for x
    x = 45,578,509,342.92/238,832
  6. Step 6: Final answer
    x = 190,839.21

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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.