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Finding the Fourth Proportional to 232,406.92, 320,753.72 and 130,438.45

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Solution

The fourth proportional to 232,406.92, 320,753.72 and 130,438.45 is: 180,023.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,406.92 : 320,753.72 = 130,438.45 : x
  2. Step 2: Convert to fraction form
    232,406.92/320,753.72 = 130,438.45/x
  3. Step 3: Cross multiply
    232,406.92x = 320,753.72 × 130,438.45
  4. Step 4: Simplify right side
    232,406.92x = 41,838,618,795.57
  5. Step 5: Solve for x
    x = 41,838,618,795.57/232,406.92
  6. Step 6: Final answer
    x = 180,023.12

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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.