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Finding the Fourth Proportional to 398,659.88, 597,399.10 and 328,084.04

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Solution

The fourth proportional to 398,659.88, 597,399.10 and 328,084.04 is: 491,639.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,659.88 : 597,399.10 = 328,084.04 : x
  2. Step 2: Convert to fraction form
    398,659.88/597,399.10 = 328,084.04/x
  3. Step 3: Cross multiply
    398,659.88x = 597,399.10 × 328,084.04
  4. Step 4: Simplify right side
    398,659.88x = 195,997,110,893.65
  5. Step 5: Solve for x
    x = 195,997,110,893.65/398,659.88
  6. Step 6: Final answer
    x = 491,639.92

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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.