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Finding the Fourth Proportional to 315,034.90, 472,552.35 and 165,217.30

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Solution

The fourth proportional to 315,034.90, 472,552.35 and 165,217.30 is: 247,825.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,034.90 : 472,552.35 = 165,217.30 : x
  2. Step 2: Convert to fraction form
    315,034.90/472,552.35 = 165,217.30/x
  3. Step 3: Cross multiply
    315,034.90x = 472,552.35 × 165,217.30
  4. Step 4: Simplify right side
    315,034.90x = 78,073,823,375.66
  5. Step 5: Solve for x
    x = 78,073,823,375.66/315,034.90
  6. Step 6: Final answer
    x = 247,825.95

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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.