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Finding the Fourth Proportional to 238,710, 329,420.16 and 138,114.48

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Solution

The fourth proportional to 238,710, 329,420.16 and 138,114.48 is: 190,598.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,710 : 329,420.16 = 138,114.48 : x
  2. Step 2: Convert to fraction form
    238,710/329,420.16 = 138,114.48/x
  3. Step 3: Cross multiply
    238,710x = 329,420.16 × 138,114.48
  4. Step 4: Simplify right side
    238,710x = 45,497,694,099.92
  5. Step 5: Solve for x
    x = 45,497,694,099.92/238,710
  6. Step 6: Final answer
    x = 190,598.19

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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.