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Finding the Fourth Proportional to 283,642.20, 425,463.30 and 115,243.20

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Solution

The fourth proportional to 283,642.20, 425,463.30 and 115,243.20 is: 172,864.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,642.20 : 425,463.30 = 115,243.20 : x
  2. Step 2: Convert to fraction form
    283,642.20/425,463.30 = 115,243.20/x
  3. Step 3: Cross multiply
    283,642.20x = 425,463.30 × 115,243.20
  4. Step 4: Simplify right side
    283,642.20x = 49,031,752,174.56
  5. Step 5: Solve for x
    x = 49,031,752,174.56/283,642.20
  6. Step 6: Final answer
    x = 172,864.80

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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.