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Finding the Fourth Proportional to 454,272.40, 681,408.60 and 138,728.80

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Solution

The fourth proportional to 454,272.40, 681,408.60 and 138,728.80 is: 208,093.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,272.40 : 681,408.60 = 138,728.80 : x
  2. Step 2: Convert to fraction form
    454,272.40/681,408.60 = 138,728.80/x
  3. Step 3: Cross multiply
    454,272.40x = 681,408.60 × 138,728.80
  4. Step 4: Simplify right side
    454,272.40x = 94,530,997,387.68
  5. Step 5: Solve for x
    x = 94,530,997,387.68/454,272.40
  6. Step 6: Final answer
    x = 208,093.20

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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.