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Finding the Fourth Proportional to 491,930.15, 737,895.22 and 281,420.46

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Solution

The fourth proportional to 491,930.15, 737,895.22 and 281,420.46 is: 422,130.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,930.15 : 737,895.22 = 281,420.46 : x
  2. Step 2: Convert to fraction form
    491,930.15/737,895.22 = 281,420.46/x
  3. Step 3: Cross multiply
    491,930.15x = 737,895.22 × 281,420.46
  4. Step 4: Simplify right side
    491,930.15x = 207,658,811,540.65
  5. Step 5: Solve for x
    x = 207,658,811,540.65/491,930.15
  6. Step 6: Final answer
    x = 422,130.69

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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.