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Finding the Fourth Proportional to 287,169.20, 429,976.20 and 224,961.20

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Solution

The fourth proportional to 287,169.20, 429,976.20 and 224,961.20 is: 336,832.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,169.20 : 429,976.20 = 224,961.20 : x
  2. Step 2: Convert to fraction form
    287,169.20/429,976.20 = 224,961.20/x
  3. Step 3: Cross multiply
    287,169.20x = 429,976.20 × 224,961.20
  4. Step 4: Simplify right side
    287,169.20x = 96,727,961,923.44
  5. Step 5: Solve for x
    x = 96,727,961,923.44/287,169.20
  6. Step 6: Final answer
    x = 336,832.65

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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.