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Finding the Fourth Proportional to 259,211.68, 388,871.78 and 109,452.40

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Solution

The fourth proportional to 259,211.68, 388,871.78 and 109,452.40 is: 164,201.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,211.68 : 388,871.78 = 109,452.40 : x
  2. Step 2: Convert to fraction form
    259,211.68/388,871.78 = 109,452.40/x
  3. Step 3: Cross multiply
    259,211.68x = 388,871.78 × 109,452.40
  4. Step 4: Simplify right side
    259,211.68x = 42,562,949,613.27
  5. Step 5: Solve for x
    x = 42,562,949,613.27/259,211.68
  6. Step 6: Final answer
    x = 164,201.51

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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.