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Finding the Fourth Proportional to 378,064.40, 566,513.40 and 327,909.20

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Solution

The fourth proportional to 378,064.40, 566,513.40 and 327,909.20 is: 491,357.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,064.40 : 566,513.40 = 327,909.20 : x
  2. Step 2: Convert to fraction form
    378,064.40/566,513.40 = 327,909.20/x
  3. Step 3: Cross multiply
    378,064.40x = 566,513.40 × 327,909.20
  4. Step 4: Simplify right side
    378,064.40x = 185,764,955,783.28
  5. Step 5: Solve for x
    x = 185,764,955,783.28/378,064.40
  6. Step 6: Final answer
    x = 491,357.97

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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.