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Finding the Fourth Proportional to 265,614.58, 398,480.19 and 78,640.66

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Solution

The fourth proportional to 265,614.58, 398,480.19 and 78,640.66 is: 117,978.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,614.58 : 398,480.19 = 78,640.66 : x
  2. Step 2: Convert to fraction form
    265,614.58/398,480.19 = 78,640.66/x
  3. Step 3: Cross multiply
    265,614.58x = 398,480.19 × 78,640.66
  4. Step 4: Simplify right side
    265,614.58x = 31,336,745,138.53
  5. Step 5: Solve for x
    x = 31,336,745,138.53/265,614.58
  6. Step 6: Final answer
    x = 117,978.26

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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.