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Finding the Fourth Proportional to 415,315.70, 622,743.15 and 165,715.70

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Solution

The fourth proportional to 415,315.70, 622,743.15 and 165,715.70 is: 248,481.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,315.70 : 622,743.15 = 165,715.70 : x
  2. Step 2: Convert to fraction form
    415,315.70/622,743.15 = 165,715.70/x
  3. Step 3: Cross multiply
    415,315.70x = 622,743.15 × 165,715.70
  4. Step 4: Simplify right side
    415,315.70x = 103,198,317,022.46
  5. Step 5: Solve for x
    x = 103,198,317,022.46/415,315.70
  6. Step 6: Final answer
    x = 248,481.62

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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.