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Finding the Fourth Proportional to 451,967.76, 678,061.26 and 136,405.80

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Solution

The fourth proportional to 451,967.76, 678,061.26 and 136,405.80 is: 204,641.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,967.76 : 678,061.26 = 136,405.80 : x
  2. Step 2: Convert to fraction form
    451,967.76/678,061.26 = 136,405.80/x
  3. Step 3: Cross multiply
    451,967.76x = 678,061.26 × 136,405.80
  4. Step 4: Simplify right side
    451,967.76x = 92,491,488,619.31
  5. Step 5: Solve for x
    x = 92,491,488,619.31/451,967.76
  6. Step 6: Final answer
    x = 204,641.78

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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.