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Finding the Fourth Proportional to 378,363.28, 522,141.16 and 217,228.72

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Solution

The fourth proportional to 378,363.28, 522,141.16 and 217,228.72 is: 299,775.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,363.28 : 522,141.16 = 217,228.72 : x
  2. Step 2: Convert to fraction form
    378,363.28/522,141.16 = 217,228.72/x
  3. Step 3: Cross multiply
    378,363.28x = 522,141.16 × 217,228.72
  4. Step 4: Simplify right side
    378,363.28x = 113,424,055,846.12
  5. Step 5: Solve for x
    x = 113,424,055,846.12/378,363.28
  6. Step 6: Final answer
    x = 299,775.54

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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.