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Finding the Fourth Proportional to 278,668.64, 418,540.80 and 238,777.76

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Solution

The fourth proportional to 278,668.64, 418,540.80 and 238,777.76 is: 358,627.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,668.64 : 418,540.80 = 238,777.76 : x
  2. Step 2: Convert to fraction form
    278,668.64/418,540.80 = 238,777.76/x
  3. Step 3: Cross multiply
    278,668.64x = 418,540.80 × 238,777.76
  4. Step 4: Simplify right side
    278,668.64x = 99,938,234,692.61
  5. Step 5: Solve for x
    x = 99,938,234,692.61/278,668.64
  6. Step 6: Final answer
    x = 358,627.49

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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.