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Finding the Fourth Proportional to 274,301, 378,500.70 and 159,616.78

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Solution

The fourth proportional to 274,301, 378,500.70 and 159,616.78 is: 220,250.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,301 : 378,500.70 = 159,616.78 : x
  2. Step 2: Convert to fraction form
    274,301/378,500.70 = 159,616.78/x
  3. Step 3: Cross multiply
    274,301x = 378,500.70 × 159,616.78
  4. Step 4: Simplify right side
    274,301x = 60,415,062,961.75
  5. Step 5: Solve for x
    x = 60,415,062,961.75/274,301
  6. Step 6: Final answer
    x = 220,250.98

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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.