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Finding the Fourth Proportional to 205,274.58, 307,911.78 and 149,469.78

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Solution

The fourth proportional to 205,274.58, 307,911.78 and 149,469.78 is: 224,204.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,274.58 : 307,911.78 = 149,469.78 : x
  2. Step 2: Convert to fraction form
    205,274.58/307,911.78 = 149,469.78/x
  3. Step 3: Cross multiply
    205,274.58x = 307,911.78 × 149,469.78
  4. Step 4: Simplify right side
    205,274.58x = 46,023,506,016.01
  5. Step 5: Solve for x
    x = 46,023,506,016.01/205,274.58
  6. Step 6: Final answer
    x = 224,204.60

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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.