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Finding the Fourth Proportional to 378,331.40, 567,237.90 and 178,747.40

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Solution

The fourth proportional to 378,331.40, 567,237.90 and 178,747.40 is: 267,998.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,331.40 : 567,237.90 = 178,747.40 : x
  2. Step 2: Convert to fraction form
    378,331.40/567,237.90 = 178,747.40/x
  3. Step 3: Cross multiply
    378,331.40x = 567,237.90 × 178,747.40
  4. Step 4: Simplify right side
    378,331.40x = 101,392,299,806.46
  5. Step 5: Solve for x
    x = 101,392,299,806.46/378,331.40
  6. Step 6: Final answer
    x = 267,998.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.