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Finding the Fourth Proportional to 386,900.76, 580,000.80 and 137,524.44

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Solution

The fourth proportional to 386,900.76, 580,000.80 and 137,524.44 is: 206,162.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,900.76 : 580,000.80 = 137,524.44 : x
  2. Step 2: Convert to fraction form
    386,900.76/580,000.80 = 137,524.44/x
  3. Step 3: Cross multiply
    386,900.76x = 580,000.80 × 137,524.44
  4. Step 4: Simplify right side
    386,900.76x = 79,764,285,219.55
  5. Step 5: Solve for x
    x = 79,764,285,219.55/386,900.76
  6. Step 6: Final answer
    x = 206,162.13

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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.