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Finding the Fourth Proportional to 420,164.68, 580,041.30 and 324,456.52

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Solution

The fourth proportional to 420,164.68, 580,041.30 and 324,456.52 is: 447,915.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,164.68 : 580,041.30 = 324,456.52 : x
  2. Step 2: Convert to fraction form
    420,164.68/580,041.30 = 324,456.52/x
  3. Step 3: Cross multiply
    420,164.68x = 580,041.30 × 324,456.52
  4. Step 4: Simplify right side
    420,164.68x = 188,198,181,654.28
  5. Step 5: Solve for x
    x = 188,198,181,654.28/420,164.68
  6. Step 6: Final answer
    x = 447,915.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.