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Finding the Fourth Proportional to 278,418.12, 417,672.41 and 86,247.67

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Solution

The fourth proportional to 278,418.12, 417,672.41 and 86,247.67 is: 129,385.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,418.12 : 417,672.41 = 86,247.67 : x
  2. Step 2: Convert to fraction form
    278,418.12/417,672.41 = 86,247.67/x
  3. Step 3: Cross multiply
    278,418.12x = 417,672.41 × 86,247.67
  4. Step 4: Simplify right side
    278,418.12x = 36,023,272,185.78
  5. Step 5: Solve for x
    x = 36,023,272,185.78/278,418.12
  6. Step 6: Final answer
    x = 129,385.52

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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.