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Finding the Fourth Proportional to 228,965.60, 343,480.80 and 71,177.60

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Solution

The fourth proportional to 228,965.60, 343,480.80 and 71,177.60 is: 106,776.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,965.60 : 343,480.80 = 71,177.60 : x
  2. Step 2: Convert to fraction form
    228,965.60/343,480.80 = 71,177.60/x
  3. Step 3: Cross multiply
    228,965.60x = 343,480.80 × 71,177.60
  4. Step 4: Simplify right side
    228,965.60x = 24,448,138,990.08
  5. Step 5: Solve for x
    x = 24,448,138,990.08/228,965.60
  6. Step 6: Final answer
    x = 106,776.47

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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.