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Finding the Fourth Proportional to 378,330.72, 522,057.60 and 217,147.20

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Solution

The fourth proportional to 378,330.72, 522,057.60 and 217,147.20 is: 299,640.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,330.72 : 522,057.60 = 217,147.20 : x
  2. Step 2: Convert to fraction form
    378,330.72/522,057.60 = 217,147.20/x
  3. Step 3: Cross multiply
    378,330.72x = 522,057.60 × 217,147.20
  4. Step 4: Simplify right side
    378,330.72x = 113,363,346,078.72
  5. Step 5: Solve for x
    x = 113,363,346,078.72/378,330.72
  6. Step 6: Final answer
    x = 299,640.87

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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.