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Finding the Fourth Proportional to 278,496.31, 417,744.19 and 98,713.44

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Solution

The fourth proportional to 278,496.31, 417,744.19 and 98,713.44 is: 148,070.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,496.31 : 417,744.19 = 98,713.44 : x
  2. Step 2: Convert to fraction form
    278,496.31/417,744.19 = 98,713.44/x
  3. Step 3: Cross multiply
    278,496.31x = 417,744.19 × 98,713.44
  4. Step 4: Simplify right side
    278,496.31x = 41,236,966,034.91
  5. Step 5: Solve for x
    x = 41,236,966,034.91/278,496.31
  6. Step 6: Final answer
    x = 148,070.06

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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.