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Finding the Fourth Proportional to 265,591.74, 398,505.38 and 139,201.97

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Solution

The fourth proportional to 265,591.74, 398,505.38 and 139,201.97 is: 208,864.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,591.74 : 398,505.38 = 139,201.97 : x
  2. Step 2: Convert to fraction form
    265,591.74/398,505.38 = 139,201.97/x
  3. Step 3: Cross multiply
    265,591.74x = 398,505.38 × 139,201.97
  4. Step 4: Simplify right side
    265,591.74x = 55,472,733,951.60
  5. Step 5: Solve for x
    x = 55,472,733,951.60/265,591.74
  6. Step 6: Final answer
    x = 208,864.68

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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.