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Finding the Fourth Proportional to 269,487.20, 404,230.80 and 111,663.20

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Solution

The fourth proportional to 269,487.20, 404,230.80 and 111,663.20 is: 167,494.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,487.20 : 404,230.80 = 111,663.20 : x
  2. Step 2: Convert to fraction form
    269,487.20/404,230.80 = 111,663.20/x
  3. Step 3: Cross multiply
    269,487.20x = 404,230.80 × 111,663.20
  4. Step 4: Simplify right side
    269,487.20x = 45,137,704,666.56
  5. Step 5: Solve for x
    x = 45,137,704,666.56/269,487.20
  6. Step 6: Final answer
    x = 167,494.80

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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.