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Finding the Fourth Proportional to 313,047.20, 469,225.20 and 172,906.40

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Solution

The fourth proportional to 313,047.20, 469,225.20 and 172,906.40 is: 259,168.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,047.20 : 469,225.20 = 172,906.40 : x
  2. Step 2: Convert to fraction form
    313,047.20/469,225.20 = 172,906.40/x
  3. Step 3: Cross multiply
    313,047.20x = 469,225.20 × 172,906.40
  4. Step 4: Simplify right side
    313,047.20x = 81,132,040,121.28
  5. Step 5: Solve for x
    x = 81,132,040,121.28/313,047.20
  6. Step 6: Final answer
    x = 259,168.71

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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.