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Finding the Fourth Proportional to 315,086.56, 472,627.41 and 78,427.64

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Solution

The fourth proportional to 315,086.56, 472,627.41 and 78,427.64 is: 117,640.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,086.56 : 472,627.41 = 78,427.64 : x
  2. Step 2: Convert to fraction form
    315,086.56/472,627.41 = 78,427.64/x
  3. Step 3: Cross multiply
    315,086.56x = 472,627.41 × 78,427.64
  4. Step 4: Simplify right side
    315,086.56x = 37,067,053,253.08
  5. Step 5: Solve for x
    x = 37,067,053,253.08/315,086.56
  6. Step 6: Final answer
    x = 117,640.86

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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.