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Finding the Fourth Proportional to 265,601.52, 398,480.32 and 78,617.84

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Solution

The fourth proportional to 265,601.52, 398,480.32 and 78,617.84 is: 117,949.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,601.52 : 398,480.32 = 78,617.84 : x
  2. Step 2: Convert to fraction form
    265,601.52/398,480.32 = 78,617.84/x
  3. Step 3: Cross multiply
    265,601.52x = 398,480.32 × 78,617.84
  4. Step 4: Simplify right side
    265,601.52x = 31,327,662,040.91
  5. Step 5: Solve for x
    x = 31,327,662,040.91/265,601.52
  6. Step 6: Final answer
    x = 117,949.86

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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.