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Finding the Fourth Proportional to 269,458.70, 404,188.05 and 185,477.90

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Solution

The fourth proportional to 269,458.70, 404,188.05 and 185,477.90 is: 278,216.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,458.70 : 404,188.05 = 185,477.90 : x
  2. Step 2: Convert to fraction form
    269,458.70/404,188.05 = 185,477.90/x
  3. Step 3: Cross multiply
    269,458.70x = 404,188.05 × 185,477.90
  4. Step 4: Simplify right side
    269,458.70x = 74,967,950,719.10
  5. Step 5: Solve for x
    x = 74,967,950,719.10/269,458.70
  6. Step 6: Final answer
    x = 278,216.85

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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.