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Finding the Fourth Proportional to 667,098.78, 920,596.50 and 361,175.10

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Solution

The fourth proportional to 667,098.78, 920,596.50 and 361,175.10 is: 498,421.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    667,098.78 : 920,596.50 = 361,175.10 : x
  2. Step 2: Convert to fraction form
    667,098.78/920,596.50 = 361,175.10/x
  3. Step 3: Cross multiply
    667,098.78x = 920,596.50 × 361,175.10
  4. Step 4: Simplify right side
    667,098.78x = 332,496,532,947.15
  5. Step 5: Solve for x
    x = 332,496,532,947.15/667,098.78
  6. Step 6: Final answer
    x = 498,421.74

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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.