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Finding the Fourth Proportional to 265,524.04, 398,286.06 and 78,520.96

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Solution

The fourth proportional to 265,524.04, 398,286.06 and 78,520.96 is: 117,781.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,524.04 : 398,286.06 = 78,520.96 : x
  2. Step 2: Convert to fraction form
    265,524.04/398,286.06 = 78,520.96/x
  3. Step 3: Cross multiply
    265,524.04x = 398,286.06 × 78,520.96
  4. Step 4: Simplify right side
    265,524.04x = 31,273,803,785.82
  5. Step 5: Solve for x
    x = 31,273,803,785.82/265,524.04
  6. Step 6: Final answer
    x = 117,781.44

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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.