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Finding the Fourth Proportional to 278,492.88, 417,747.42 and 68,130.76

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Solution

The fourth proportional to 278,492.88, 417,747.42 and 68,130.76 is: 102,198.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,492.88 : 417,747.42 = 68,130.76 : x
  2. Step 2: Convert to fraction form
    278,492.88/417,747.42 = 68,130.76/x
  3. Step 3: Cross multiply
    278,492.88x = 417,747.42 × 68,130.76
  4. Step 4: Simplify right side
    278,492.88x = 28,461,449,212.64
  5. Step 5: Solve for x
    x = 28,461,449,212.64/278,492.88
  6. Step 6: Final answer
    x = 102,198.12

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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.