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Finding the Fourth Proportional to 398,656.40, 597,393.84 and 328,080.56

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Solution

The fourth proportional to 398,656.40, 597,393.84 and 328,080.56 is: 491,634.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,656.40 : 597,393.84 = 328,080.56 : x
  2. Step 2: Convert to fraction form
    398,656.40/597,393.84 = 328,080.56/x
  3. Step 3: Cross multiply
    398,656.40x = 597,393.84 × 328,080.56
  4. Step 4: Simplify right side
    398,656.40x = 195,993,305,567.75
  5. Step 5: Solve for x
    x = 195,993,305,567.75/398,656.40
  6. Step 6: Final answer
    x = 491,634.66

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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.