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Finding the Fourth Proportional to 279,424, 419,175.42 and 89,820.82

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Solution

The fourth proportional to 279,424, 419,175.42 and 89,820.82 is: 134,743.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,424 : 419,175.42 = 89,820.82 : x
  2. Step 2: Convert to fraction form
    279,424/419,175.42 = 89,820.82/x
  3. Step 3: Cross multiply
    279,424x = 419,175.42 × 89,820.82
  4. Step 4: Simplify right side
    279,424x = 37,650,679,948.24
  5. Step 5: Solve for x
    x = 37,650,679,948.24/279,424
  6. Step 6: Final answer
    x = 134,743.90

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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.