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Finding the Fourth Proportional to 538,423.20, 806,079.60 and 328,471.20

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Solution

The fourth proportional to 538,423.20, 806,079.60 and 328,471.20 is: 491,758.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,423.20 : 806,079.60 = 328,471.20 : x
  2. Step 2: Convert to fraction form
    538,423.20/806,079.60 = 328,471.20/x
  3. Step 3: Cross multiply
    538,423.20x = 806,079.60 × 328,471.20
  4. Step 4: Simplify right side
    538,423.20x = 264,773,933,507.52
  5. Step 5: Solve for x
    x = 264,773,933,507.52/538,423.20
  6. Step 6: Final answer
    x = 491,758.03

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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.