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Finding the Fourth Proportional to 436,934.78, 655,406.49 and 137,408.66

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Solution

The fourth proportional to 436,934.78, 655,406.49 and 137,408.66 is: 206,114.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,934.78 : 655,406.49 = 137,408.66 : x
  2. Step 2: Convert to fraction form
    436,934.78/655,406.49 = 137,408.66/x
  3. Step 3: Cross multiply
    436,934.78x = 655,406.49 × 137,408.66
  4. Step 4: Simplify right side
    436,934.78x = 90,058,527,546.20
  5. Step 5: Solve for x
    x = 90,058,527,546.20/436,934.78
  6. Step 6: Final answer
    x = 206,114.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.