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Finding the Fourth Proportional to 232,915.82, 321,430.83 and 142,286.54

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Solution

The fourth proportional to 232,915.82, 321,430.83 and 142,286.54 is: 196,359.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,915.82 : 321,430.83 = 142,286.54 : x
  2. Step 2: Convert to fraction form
    232,915.82/321,430.83 = 142,286.54/x
  3. Step 3: Cross multiply
    232,915.82x = 321,430.83 × 142,286.54
  4. Step 4: Simplify right side
    232,915.82x = 45,735,280,650.03
  5. Step 5: Solve for x
    x = 45,735,280,650.03/232,915.82
  6. Step 6: Final answer
    x = 196,359.70

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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.