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Finding the Fourth Proportional to 230,204.20, 317,730.80 and 154,708.96

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Solution

The fourth proportional to 230,204.20, 317,730.80 and 154,708.96 is: 213,531.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,204.20 : 317,730.80 = 154,708.96 : x
  2. Step 2: Convert to fraction form
    230,204.20/317,730.80 = 154,708.96/x
  3. Step 3: Cross multiply
    230,204.20x = 317,730.80 × 154,708.96
  4. Step 4: Simplify right side
    230,204.20x = 49,155,801,627.97
  5. Step 5: Solve for x
    x = 49,155,801,627.97/230,204.20
  6. Step 6: Final answer
    x = 213,531.30

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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.