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Finding the Fourth Proportional to 378,471.17, 522,266.37 and 217,212.72

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Solution

The fourth proportional to 378,471.17, 522,266.37 and 217,212.72 is: 299,739.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,471.17 : 522,266.37 = 217,212.72 : x
  2. Step 2: Convert to fraction form
    378,471.17/522,266.37 = 217,212.72/x
  3. Step 3: Cross multiply
    378,471.17x = 522,266.37 × 217,212.72
  4. Step 4: Simplify right side
    378,471.17x = 113,442,898,792.23
  5. Step 5: Solve for x
    x = 113,442,898,792.23/378,471.17
  6. Step 6: Final answer
    x = 299,739.87

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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.