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Finding the Fourth Proportional to 270,924.57, 406,649.30 and 130,781.61

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Solution

The fourth proportional to 270,924.57, 406,649.30 and 130,781.61 is: 196,299.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,924.57 : 406,649.30 = 130,781.61 : x
  2. Step 2: Convert to fraction form
    270,924.57/406,649.30 = 130,781.61/x
  3. Step 3: Cross multiply
    270,924.57x = 406,649.30 × 130,781.61
  4. Step 4: Simplify right side
    270,924.57x = 53,182,249,505.47
  5. Step 5: Solve for x
    x = 53,182,249,505.47/270,924.57
  6. Step 6: Final answer
    x = 196,299.10

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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.