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Finding the Fourth Proportional to 280,708.40, 421,062.60 and 162,318.80

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Solution

The fourth proportional to 280,708.40, 421,062.60 and 162,318.80 is: 243,478.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,708.40 : 421,062.60 = 162,318.80 : x
  2. Step 2: Convert to fraction form
    280,708.40/421,062.60 = 162,318.80/x
  3. Step 3: Cross multiply
    280,708.40x = 421,062.60 × 162,318.80
  4. Step 4: Simplify right side
    280,708.40x = 68,346,375,956.88
  5. Step 5: Solve for x
    x = 68,346,375,956.88/280,708.40
  6. Step 6: Final answer
    x = 243,478.20

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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.