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Finding the Fourth Proportional to 265,431.54, 398,144.87 and 107,622.48

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Solution

The fourth proportional to 265,431.54, 398,144.87 and 107,622.48 is: 161,432.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,431.54 : 398,144.87 = 107,622.48 : x
  2. Step 2: Convert to fraction form
    265,431.54/398,144.87 = 107,622.48/x
  3. Step 3: Cross multiply
    265,431.54x = 398,144.87 × 107,622.48
  4. Step 4: Simplify right side
    265,431.54x = 42,849,338,308.68
  5. Step 5: Solve for x
    x = 42,849,338,308.68/265,431.54
  6. Step 6: Final answer
    x = 161,432.73

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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.