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Finding the Fourth Proportional to 274,590.40, 411,448.20 and 203,731.60

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Solution

The fourth proportional to 274,590.40, 411,448.20 and 203,731.60 is: 305,272.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,590.40 : 411,448.20 = 203,731.60 : x
  2. Step 2: Convert to fraction form
    274,590.40/411,448.20 = 203,731.60/x
  3. Step 3: Cross multiply
    274,590.40x = 411,448.20 × 203,731.60
  4. Step 4: Simplify right side
    274,590.40x = 83,825,000,103.12
  5. Step 5: Solve for x
    x = 83,825,000,103.12/274,590.40
  6. Step 6: Final answer
    x = 305,272.87

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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.