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Finding the Fourth Proportional to 491,225.42, 677,880.96 and 276,363.20

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Solution

The fourth proportional to 491,225.42, 677,880.96 and 276,363.20 is: 381,375.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,225.42 : 677,880.96 = 276,363.20 : x
  2. Step 2: Convert to fraction form
    491,225.42/677,880.96 = 276,363.20/x
  3. Step 3: Cross multiply
    491,225.42x = 677,880.96 × 276,363.20
  4. Step 4: Simplify right side
    491,225.42x = 187,341,351,324.67
  5. Step 5: Solve for x
    x = 187,341,351,324.67/491,225.42
  6. Step 6: Final answer
    x = 381,375.52

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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.