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Finding the Fourth Proportional to 342,436.40, 472,752.26 and 206,504.78

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Solution

The fourth proportional to 342,436.40, 472,752.26 and 206,504.78 is: 285,091.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,436.40 : 472,752.26 = 206,504.78 : x
  2. Step 2: Convert to fraction form
    342,436.40/472,752.26 = 206,504.78/x
  3. Step 3: Cross multiply
    342,436.40x = 472,752.26 × 206,504.78
  4. Step 4: Simplify right side
    342,436.40x = 97,625,598,049.52
  5. Step 5: Solve for x
    x = 97,625,598,049.52/342,436.40
  6. Step 6: Final answer
    x = 285,091.19

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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.