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Finding the Fourth Proportional to 272,331.40, 408,059.70 and 178,727.80

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Solution

The fourth proportional to 272,331.40, 408,059.70 and 178,727.80 is: 267,804.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,331.40 : 408,059.70 = 178,727.80 : x
  2. Step 2: Convert to fraction form
    272,331.40/408,059.70 = 178,727.80/x
  3. Step 3: Cross multiply
    272,331.40x = 408,059.70 × 178,727.80
  4. Step 4: Simplify right side
    272,331.40x = 72,931,612,449.66
  5. Step 5: Solve for x
    x = 72,931,612,449.66/272,331.40
  6. Step 6: Final answer
    x = 267,804.64

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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.