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Finding the Fourth Proportional to 205,286.40, 307,929.60 and 148,861.80

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Solution

The fourth proportional to 205,286.40, 307,929.60 and 148,861.80 is: 223,292.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,286.40 : 307,929.60 = 148,861.80 : x
  2. Step 2: Convert to fraction form
    205,286.40/307,929.60 = 148,861.80/x
  3. Step 3: Cross multiply
    205,286.40x = 307,929.60 × 148,861.80
  4. Step 4: Simplify right side
    205,286.40x = 45,838,954,529.28
  5. Step 5: Solve for x
    x = 45,838,954,529.28/205,286.40
  6. Step 6: Final answer
    x = 223,292.70

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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.