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Finding the Fourth Proportional to 228,965.30, 343,500.15 and 71,209.70

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Solution

The fourth proportional to 228,965.30, 343,500.15 and 71,209.70 is: 106,830.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,965.30 : 343,500.15 = 71,209.70 : x
  2. Step 2: Convert to fraction form
    228,965.30/343,500.15 = 71,209.70/x
  3. Step 3: Cross multiply
    228,965.30x = 343,500.15 × 71,209.70
  4. Step 4: Simplify right side
    228,965.30x = 24,460,542,631.46
  5. Step 5: Solve for x
    x = 24,460,542,631.46/228,965.30
  6. Step 6: Final answer
    x = 106,830.78

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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.