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Finding the Fourth Proportional to 278,803.95, 418,214.12 and 68,441.88

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Solution

The fourth proportional to 278,803.95, 418,214.12 and 68,441.88 is: 102,664.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,803.95 : 418,214.12 = 68,441.88 : x
  2. Step 2: Convert to fraction form
    278,803.95/418,214.12 = 68,441.88/x
  3. Step 3: Cross multiply
    278,803.95x = 418,214.12 × 68,441.88
  4. Step 4: Simplify right side
    278,803.95x = 28,623,360,615.35
  5. Step 5: Solve for x
    x = 28,623,360,615.35/278,803.95
  6. Step 6: Final answer
    x = 102,664.83

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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.