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Finding the Fourth Proportional to 280,672.16, 421,113.02 and 168,432.88

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Solution

The fourth proportional to 280,672.16, 421,113.02 and 168,432.88 is: 252,712.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,672.16 : 421,113.02 = 168,432.88 : x
  2. Step 2: Convert to fraction form
    280,672.16/421,113.02 = 168,432.88/x
  3. Step 3: Cross multiply
    280,672.16x = 421,113.02 × 168,432.88
  4. Step 4: Simplify right side
    280,672.16x = 70,929,278,764.10
  5. Step 5: Solve for x
    x = 70,929,278,764.10/280,672.16
  6. Step 6: Final answer
    x = 252,712.20

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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.