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Finding the Fourth Proportional to 664,708.80, 996,382.80 and 327,230.40

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Solution

The fourth proportional to 664,708.80, 996,382.80 and 327,230.40 is: 490,510.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,708.80 : 996,382.80 = 327,230.40 : x
  2. Step 2: Convert to fraction form
    664,708.80/996,382.80 = 327,230.40/x
  3. Step 3: Cross multiply
    664,708.80x = 996,382.80 × 327,230.40
  4. Step 4: Simplify right side
    664,708.80x = 326,046,742,197.12
  5. Step 5: Solve for x
    x = 326,046,742,197.12/664,708.80
  6. Step 6: Final answer
    x = 490,510.64

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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.