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Finding the Fourth Proportional to 378,561.63, 522,414.05 and 217,427.12

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Solution

The fourth proportional to 378,561.63, 522,414.05 and 217,427.12 is: 300,048.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,561.63 : 522,414.05 = 217,427.12 : x
  2. Step 2: Convert to fraction form
    378,561.63/522,414.05 = 217,427.12/x
  3. Step 3: Cross multiply
    378,561.63x = 522,414.05 × 217,427.12
  4. Step 4: Simplify right side
    378,561.63x = 113,586,978,639.83
  5. Step 5: Solve for x
    x = 113,586,978,639.83/378,561.63
  6. Step 6: Final answer
    x = 300,048.84

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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.