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Finding the Fourth Proportional to 361,764, 499,234.32 and 202,788

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Solution

The fourth proportional to 361,764, 499,234.32 and 202,788 is: 279,847.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,764 : 499,234.32 = 202,788 : x
  2. Step 2: Convert to fraction form
    361,764/499,234.32 = 202,788/x
  3. Step 3: Cross multiply
    361,764x = 499,234.32 × 202,788
  4. Step 4: Simplify right side
    361,764x = 101,238,729,284.16
  5. Step 5: Solve for x
    x = 101,238,729,284.16/361,764
  6. Step 6: Final answer
    x = 279,847.44

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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.