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Finding the Fourth Proportional to 288,540.80, 432,811.20 and 155,680.55

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Solution

The fourth proportional to 288,540.80, 432,811.20 and 155,680.55 is: 233,520.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,540.80 : 432,811.20 = 155,680.55 : x
  2. Step 2: Convert to fraction form
    288,540.80/432,811.20 = 155,680.55/x
  3. Step 3: Cross multiply
    288,540.80x = 432,811.20 × 155,680.55
  4. Step 4: Simplify right side
    288,540.80x = 67,380,285,662.16
  5. Step 5: Solve for x
    x = 67,380,285,662.16/288,540.80
  6. Step 6: Final answer
    x = 233,520.83

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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.