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Finding the Fourth Proportional to 272,004.80, 408,064.80 and 82,449.60

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Solution

The fourth proportional to 272,004.80, 408,064.80 and 82,449.60 is: 123,691.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,004.80 : 408,064.80 = 82,449.60 : x
  2. Step 2: Convert to fraction form
    272,004.80/408,064.80 = 82,449.60/x
  3. Step 3: Cross multiply
    272,004.80x = 408,064.80 × 82,449.60
  4. Step 4: Simplify right side
    272,004.80x = 33,644,779,534.08
  5. Step 5: Solve for x
    x = 33,644,779,534.08/272,004.80
  6. Step 6: Final answer
    x = 123,691.86

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1.5x scale

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.