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Finding the Fourth Proportional to 491,839.20, 737,758.80 and 442,072.80

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Solution

The fourth proportional to 491,839.20, 737,758.80 and 442,072.80 is: 663,109.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,839.20 : 737,758.80 = 442,072.80 : x
  2. Step 2: Convert to fraction form
    491,839.20/737,758.80 = 442,072.80/x
  3. Step 3: Cross multiply
    491,839.20x = 737,758.80 × 442,072.80
  4. Step 4: Simplify right side
    491,839.20x = 326,143,098,440.64
  5. Step 5: Solve for x
    x = 326,143,098,440.64/491,839.20
  6. Step 6: Final answer
    x = 663,109.20

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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.