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Finding the Fourth Proportional to 261,431.20, 360,781.20 and 142,206.88

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Solution

The fourth proportional to 261,431.20, 360,781.20 and 142,206.88 is: 196,248.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,431.20 : 360,781.20 = 142,206.88 : x
  2. Step 2: Convert to fraction form
    261,431.20/360,781.20 = 142,206.88/x
  3. Step 3: Cross multiply
    261,431.20x = 360,781.20 × 142,206.88
  4. Step 4: Simplify right side
    261,431.20x = 51,305,568,814.66
  5. Step 5: Solve for x
    x = 51,305,568,814.66/261,431.20
  6. Step 6: Final answer
    x = 196,248.84

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1.5x scale

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.