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Finding the Fourth Proportional to 272,082.80, 408,124.20 and 254,457.20

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Solution

The fourth proportional to 272,082.80, 408,124.20 and 254,457.20 is: 381,685.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,082.80 : 408,124.20 = 254,457.20 : x
  2. Step 2: Convert to fraction form
    272,082.80/408,124.20 = 254,457.20/x
  3. Step 3: Cross multiply
    272,082.80x = 408,124.20 × 254,457.20
  4. Step 4: Simplify right side
    272,082.80x = 103,850,141,184.24
  5. Step 5: Solve for x
    x = 103,850,141,184.24/272,082.80
  6. Step 6: Final answer
    x = 381,685.80

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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.