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Finding the Fourth Proportional to 342,180.96, 472,212.78 and 189,229.50

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Solution

The fourth proportional to 342,180.96, 472,212.78 and 189,229.50 is: 261,138.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,180.96 : 472,212.78 = 189,229.50 : x
  2. Step 2: Convert to fraction form
    342,180.96/472,212.78 = 189,229.50/x
  3. Step 3: Cross multiply
    342,180.96x = 472,212.78 × 189,229.50
  4. Step 4: Simplify right side
    342,180.96x = 89,356,588,253.01
  5. Step 5: Solve for x
    x = 89,356,588,253.01/342,180.96
  6. Step 6: Final answer
    x = 261,138.40

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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.