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Finding the Fourth Proportional to 664,423.80, 996,599.92 and 327,128.16

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Solution

The fourth proportional to 664,423.80, 996,599.92 and 327,128.16 is: 490,674.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,423.80 : 996,599.92 = 327,128.16 : x
  2. Step 2: Convert to fraction form
    664,423.80/996,599.92 = 327,128.16/x
  3. Step 3: Cross multiply
    664,423.80x = 996,599.92 × 327,128.16
  4. Step 4: Simplify right side
    664,423.80x = 326,015,898,085.75
  5. Step 5: Solve for x
    x = 326,015,898,085.75/664,423.80
  6. Step 6: Final answer
    x = 490,674.62

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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.