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Finding the Fourth Proportional to 276,255.62, 381,408 and 189,186.47

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Solution

The fourth proportional to 276,255.62, 381,408 and 189,186.47 is: 261,197.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,255.62 : 381,408 = 189,186.47 : x
  2. Step 2: Convert to fraction form
    276,255.62/381,408 = 189,186.47/x
  3. Step 3: Cross multiply
    276,255.62x = 381,408 × 189,186.47
  4. Step 4: Simplify right side
    276,255.62x = 72,157,233,149.76
  5. Step 5: Solve for x
    x = 72,157,233,149.76/276,255.62
  6. Step 6: Final answer
    x = 261,197.34

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1.5x scale

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.