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Finding the Fourth Proportional to 258,450.45, 387,516.92 and 100,494.78

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Solution

The fourth proportional to 258,450.45, 387,516.92 and 100,494.78 is: 150,680.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,450.45 : 387,516.92 = 100,494.78 : x
  2. Step 2: Convert to fraction form
    258,450.45/387,516.92 = 100,494.78/x
  3. Step 3: Cross multiply
    258,450.45x = 387,516.92 × 100,494.78
  4. Step 4: Simplify right side
    258,450.45x = 38,943,427,119.20
  5. Step 5: Solve for x
    x = 38,943,427,119.20/258,450.45
  6. Step 6: Final answer
    x = 150,680.44

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1.5x scale

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.