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Finding the Fourth Proportional to 278,798.16, 418,407.56 and 129,143.45

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Solution

The fourth proportional to 278,798.16, 418,407.56 and 129,143.45 is: 193,812.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,798.16 : 418,407.56 = 129,143.45 : x
  2. Step 2: Convert to fraction form
    278,798.16/418,407.56 = 129,143.45/x
  3. Step 3: Cross multiply
    278,798.16x = 418,407.56 × 129,143.45
  4. Step 4: Simplify right side
    278,798.16x = 54,034,593,066.73
  5. Step 5: Solve for x
    x = 54,034,593,066.73/278,798.16
  6. Step 6: Final answer
    x = 193,812.59

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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.