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Finding the Fourth Proportional to 231,418.80, 347,060.16 and 98,298

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Solution

The fourth proportional to 231,418.80, 347,060.16 and 98,298 is: 147,418.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,418.80 : 347,060.16 = 98,298 : x
  2. Step 2: Convert to fraction form
    231,418.80/347,060.16 = 98,298/x
  3. Step 3: Cross multiply
    231,418.80x = 347,060.16 × 98,298
  4. Step 4: Simplify right side
    231,418.80x = 34,115,319,607.68
  5. Step 5: Solve for x
    x = 34,115,319,607.68/231,418.80
  6. Step 6: Final answer
    x = 147,418.10

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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.