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Finding the Fourth Proportional to 274,408.15, 411,642.47 and 87,376.63

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Solution

The fourth proportional to 274,408.15, 411,642.47 and 87,376.63 is: 131,074.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,408.15 : 411,642.47 = 87,376.63 : x
  2. Step 2: Convert to fraction form
    274,408.15/411,642.47 = 87,376.63/x
  3. Step 3: Cross multiply
    274,408.15x = 411,642.47 × 87,376.63
  4. Step 4: Simplify right side
    274,408.15x = 35,967,931,793.48
  5. Step 5: Solve for x
    x = 35,967,931,793.48/274,408.15
  6. Step 6: Final answer
    x = 131,074.58

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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.