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Finding the Fourth Proportional to 232,230, 320,481.12 and 130,278.18

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Solution

The fourth proportional to 232,230, 320,481.12 and 130,278.18 is: 179,785.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,230 : 320,481.12 = 130,278.18 : x
  2. Step 2: Convert to fraction form
    232,230/320,481.12 = 130,278.18/x
  3. Step 3: Cross multiply
    232,230x = 320,481.12 × 130,278.18
  4. Step 4: Simplify right side
    232,230x = 41,751,697,037.96
  5. Step 5: Solve for x
    x = 41,751,697,037.96/232,230
  6. Step 6: Final answer
    x = 179,785.98

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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.