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Finding the Fourth Proportional to 560,249.80, 840,374.72 and 205,119.88

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Solution

The fourth proportional to 560,249.80, 840,374.72 and 205,119.88 is: 307,679.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,249.80 : 840,374.72 = 205,119.88 : x
  2. Step 2: Convert to fraction form
    560,249.80/840,374.72 = 205,119.88/x
  3. Step 3: Cross multiply
    560,249.80x = 840,374.72 × 205,119.88
  4. Step 4: Simplify right side
    560,249.80x = 172,377,561,721.43
  5. Step 5: Solve for x
    x = 172,377,561,721.43/560,249.80
  6. Step 6: Final answer
    x = 307,679.83

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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.