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Finding the Fourth Proportional to 478,008.24, 659,658.96 and 274,077.12

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Solution

The fourth proportional to 478,008.24, 659,658.96 and 274,077.12 is: 378,230.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,008.24 : 659,658.96 = 274,077.12 : x
  2. Step 2: Convert to fraction form
    478,008.24/659,658.96 = 274,077.12/x
  3. Step 3: Cross multiply
    478,008.24x = 659,658.96 × 274,077.12
  4. Step 4: Simplify right side
    478,008.24x = 180,797,427,939.00
  5. Step 5: Solve for x
    x = 180,797,427,939.00/478,008.24
  6. Step 6: Final answer
    x = 378,230.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.