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Finding the Fourth Proportional to 261,480.96, 392,221.44 and 74,493

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Solution

The fourth proportional to 261,480.96, 392,221.44 and 74,493 is: 111,739.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,480.96 : 392,221.44 = 74,493 : x
  2. Step 2: Convert to fraction form
    261,480.96/392,221.44 = 74,493/x
  3. Step 3: Cross multiply
    261,480.96x = 392,221.44 × 74,493
  4. Step 4: Simplify right side
    261,480.96x = 29,217,751,729.92
  5. Step 5: Solve for x
    x = 29,217,751,729.92/261,480.96
  6. Step 6: Final answer
    x = 111,739.50

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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.