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Finding the Fourth Proportional to 276,169.32, 380,582.82 and 196,543.08

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Solution

The fourth proportional to 276,169.32, 380,582.82 and 196,543.08 is: 270,851.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,169.32 : 380,582.82 = 196,543.08 : x
  2. Step 2: Convert to fraction form
    276,169.32/380,582.82 = 196,543.08/x
  3. Step 3: Cross multiply
    276,169.32x = 380,582.82 × 196,543.08
  4. Step 4: Simplify right side
    276,169.32x = 74,800,919,637.89
  5. Step 5: Solve for x
    x = 74,800,919,637.89/276,169.32
  6. Step 6: Final answer
    x = 270,851.66

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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.