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Finding the Fourth Proportional to 278,738.18, 418,108.98 and 68,375.96

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Solution

The fourth proportional to 278,738.18, 418,108.98 and 68,375.96 is: 102,564.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,738.18 : 418,108.98 = 68,375.96 : x
  2. Step 2: Convert to fraction form
    278,738.18/418,108.98 = 68,375.96/x
  3. Step 3: Cross multiply
    278,738.18x = 418,108.98 × 68,375.96
  4. Step 4: Simplify right side
    278,738.18x = 28,588,602,892.12
  5. Step 5: Solve for x
    x = 28,588,602,892.12/278,738.18
  6. Step 6: Final answer
    x = 102,564.36

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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.