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Finding the Fourth Proportional to 371,906.59, 513,234.48 and 202,141.12

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Solution

The fourth proportional to 371,906.59, 513,234.48 and 202,141.12 is: 278,956.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,906.59 : 513,234.48 = 202,141.12 : x
  2. Step 2: Convert to fraction form
    371,906.59/513,234.48 = 202,141.12/x
  3. Step 3: Cross multiply
    371,906.59x = 513,234.48 × 202,141.12
  4. Step 4: Simplify right side
    371,906.59x = 103,745,792,609.82
  5. Step 5: Solve for x
    x = 103,745,792,609.82/371,906.59
  6. Step 6: Final answer
    x = 278,956.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.