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Finding the Fourth Proportional to 378,732.12, 522,681.48 and 217,618.20

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Solution

The fourth proportional to 378,732.12, 522,681.48 and 217,618.20 is: 300,331.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,732.12 : 522,681.48 = 217,618.20 : x
  2. Step 2: Convert to fraction form
    378,732.12/522,681.48 = 217,618.20/x
  3. Step 3: Cross multiply
    378,732.12x = 522,681.48 × 217,618.20
  4. Step 4: Simplify right side
    378,732.12x = 113,745,002,850.94
  5. Step 5: Solve for x
    x = 113,745,002,850.94/378,732.12
  6. Step 6: Final answer
    x = 300,331.02

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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.