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Finding the Fourth Proportional to 288,596.38, 398,257.10 and 159,540.30

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Solution

The fourth proportional to 288,596.38, 398,257.10 and 159,540.30 is: 220,162.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,596.38 : 398,257.10 = 159,540.30 : x
  2. Step 2: Convert to fraction form
    288,596.38/398,257.10 = 159,540.30/x
  3. Step 3: Cross multiply
    288,596.38x = 398,257.10 × 159,540.30
  4. Step 4: Simplify right side
    288,596.38x = 63,538,057,211.13
  5. Step 5: Solve for x
    x = 63,538,057,211.13/288,596.38
  6. Step 6: Final answer
    x = 220,162.35

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.