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Finding the Fourth Proportional to 342,711.10, 472,956.10 and 189,749.29

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Solution

The fourth proportional to 342,711.10, 472,956.10 and 189,749.29 is: 261,862.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,711.10 : 472,956.10 = 189,749.29 : x
  2. Step 2: Convert to fraction form
    342,711.10/472,956.10 = 189,749.29/x
  3. Step 3: Cross multiply
    342,711.10x = 472,956.10 × 189,749.29
  4. Step 4: Simplify right side
    342,711.10x = 89,743,083,477.45
  5. Step 5: Solve for x
    x = 89,743,083,477.45/342,711.10
  6. Step 6: Final answer
    x = 261,862.20

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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.