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Finding the Fourth Proportional to 278,894.10, 418,341.15 and 158,827.80

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Solution

The fourth proportional to 278,894.10, 418,341.15 and 158,827.80 is: 238,241.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,894.10 : 418,341.15 = 158,827.80 : x
  2. Step 2: Convert to fraction form
    278,894.10/418,341.15 = 158,827.80/x
  3. Step 3: Cross multiply
    278,894.10x = 418,341.15 × 158,827.80
  4. Step 4: Simplify right side
    278,894.10x = 66,444,204,503.97
  5. Step 5: Solve for x
    x = 66,444,204,503.97/278,894.10
  6. Step 6: Final answer
    x = 238,241.70

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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.