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Finding the Fourth Proportional to 342,711.35, 472,956.45 and 189,749.54

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Solution

The fourth proportional to 342,711.35, 472,956.45 and 189,749.54 is: 261,862.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,711.35 : 472,956.45 = 189,749.54 : x
  2. Step 2: Convert to fraction form
    342,711.35/472,956.45 = 189,749.54/x
  3. Step 3: Cross multiply
    342,711.35x = 472,956.45 × 189,749.54
  4. Step 4: Simplify right side
    342,711.35x = 89,743,267,878.79
  5. Step 5: Solve for x
    x = 89,743,267,878.79/342,711.35
  6. Step 6: Final answer
    x = 261,862.55

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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.