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Finding the Fourth Proportional to 278,798.66, 418,408.30 and 129,143.95

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Solution

The fourth proportional to 278,798.66, 418,408.30 and 129,143.95 is: 193,813.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,798.66 : 418,408.30 = 129,143.95 : x
  2. Step 2: Convert to fraction form
    278,798.66/418,408.30 = 129,143.95/x
  3. Step 3: Cross multiply
    278,798.66x = 418,408.30 × 129,143.95
  4. Step 4: Simplify right side
    278,798.66x = 54,034,900,574.79
  5. Step 5: Solve for x
    x = 54,034,900,574.79/278,798.66
  6. Step 6: Final answer
    x = 193,813.34

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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.