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Finding the Fourth Proportional to 279,654.38, 419,650.22 and 99,726.14

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Solution

The fourth proportional to 279,654.38, 419,650.22 and 99,726.14 is: 149,649.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,654.38 : 419,650.22 = 99,726.14 : x
  2. Step 2: Convert to fraction form
    279,654.38/419,650.22 = 99,726.14/x
  3. Step 3: Cross multiply
    279,654.38x = 419,650.22 × 99,726.14
  4. Step 4: Simplify right side
    279,654.38x = 41,850,094,741.82
  5. Step 5: Solve for x
    x = 41,850,094,741.82/279,654.38
  6. Step 6: Final answer
    x = 149,649.34

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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.