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Finding the Fourth Proportional to 279,799.64, 419,543.94 and 113,393.24

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Solution

The fourth proportional to 279,799.64, 419,543.94 and 113,393.24 is: 170,026.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,799.64 : 419,543.94 = 113,393.24 : x
  2. Step 2: Convert to fraction form
    279,799.64/419,543.94 = 113,393.24/x
  3. Step 3: Cross multiply
    279,799.64x = 419,543.94 × 113,393.24
  4. Step 4: Simplify right side
    279,799.64x = 47,573,446,678.97
  5. Step 5: Solve for x
    x = 47,573,446,678.97/279,799.64
  6. Step 6: Final answer
    x = 170,026.83

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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.