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Finding the Fourth Proportional to 278,412.17, 417,618.25 and 68,049.77

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Solution

The fourth proportional to 278,412.17, 417,618.25 and 68,049.77 is: 102,074.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,412.17 : 417,618.25 = 68,049.77 : x
  2. Step 2: Convert to fraction form
    278,412.17/417,618.25 = 68,049.77/x
  3. Step 3: Cross multiply
    278,412.17x = 417,618.25 × 68,049.77
  4. Step 4: Simplify right side
    278,412.17x = 28,418,823,602.09
  5. Step 5: Solve for x
    x = 28,418,823,602.09/278,412.17
  6. Step 6: Final answer
    x = 102,074.65

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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.