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Finding the Fourth Proportional to 378,363.78, 522,141.85 and 217,229.22

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Solution

The fourth proportional to 378,363.78, 522,141.85 and 217,229.22 is: 299,776.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,363.78 : 522,141.85 = 217,229.22 : x
  2. Step 2: Convert to fraction form
    378,363.78/522,141.85 = 217,229.22/x
  3. Step 3: Cross multiply
    378,363.78x = 522,141.85 × 217,229.22
  4. Step 4: Simplify right side
    378,363.78x = 113,424,466,804.86
  5. Step 5: Solve for x
    x = 113,424,466,804.86/378,363.78
  6. Step 6: Final answer
    x = 299,776.23

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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.