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Finding the Fourth Proportional to 279,416, 419,134.20 and 99,514.68

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Solution

The fourth proportional to 279,416, 419,134.20 and 99,514.68 is: 149,275.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,416 : 419,134.20 = 99,514.68 : x
  2. Step 2: Convert to fraction form
    279,416/419,134.20 = 99,514.68/x
  3. Step 3: Cross multiply
    279,416x = 419,134.20 × 99,514.68
  4. Step 4: Simplify right side
    279,416x = 41,710,003,694.39
  5. Step 5: Solve for x
    x = 41,710,003,694.39/279,416
  6. Step 6: Final answer
    x = 149,275.65

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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.