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Finding the Fourth Proportional to 428,932.32, 643,497.32 and 148,449.57

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Solution

The fourth proportional to 428,932.32, 643,497.32 and 148,449.57 is: 222,708.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,932.32 : 643,497.32 = 148,449.57 : x
  2. Step 2: Convert to fraction form
    428,932.32/643,497.32 = 148,449.57/x
  3. Step 3: Cross multiply
    428,932.32x = 643,497.32 × 148,449.57
  4. Step 4: Simplify right side
    428,932.32x = 95,526,900,450.15
  5. Step 5: Solve for x
    x = 95,526,900,450.15/428,932.32
  6. Step 6: Final answer
    x = 222,708.56

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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.