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Finding the Fourth Proportional to 278,255.70, 383,992.83 and 157,394.38

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Solution

The fourth proportional to 278,255.70, 383,992.83 and 157,394.38 is: 217,204.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,255.70 : 383,992.83 = 157,394.38 : x
  2. Step 2: Convert to fraction form
    278,255.70/383,992.83 = 157,394.38/x
  3. Step 3: Cross multiply
    278,255.70x = 383,992.83 × 157,394.38
  4. Step 4: Simplify right side
    278,255.70x = 60,438,313,402.30
  5. Step 5: Solve for x
    x = 60,438,313,402.30/278,255.70
  6. Step 6: Final answer
    x = 217,204.22

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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.