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Finding the Fourth Proportional to 560,609.40, 840,414.12 and 205,540.68

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Solution

The fourth proportional to 560,609.40, 840,414.12 and 205,540.68 is: 308,127.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,609.40 : 840,414.12 = 205,540.68 : x
  2. Step 2: Convert to fraction form
    560,609.40/840,414.12 = 205,540.68/x
  3. Step 3: Cross multiply
    560,609.40x = 840,414.12 × 205,540.68
  4. Step 4: Simplify right side
    560,609.40x = 172,739,289,706.40
  5. Step 5: Solve for x
    x = 172,739,289,706.40/560,609.40
  6. Step 6: Final answer
    x = 308,127.71

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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.