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Finding the Fourth Proportional to 224,590.32, 309,934.62 and 129,115.62

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Solution

The fourth proportional to 224,590.32, 309,934.62 and 129,115.62 is: 178,179.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,590.32 : 309,934.62 = 129,115.62 : x
  2. Step 2: Convert to fraction form
    224,590.32/309,934.62 = 129,115.62/x
  3. Step 3: Cross multiply
    224,590.32x = 309,934.62 × 129,115.62
  4. Step 4: Simplify right side
    224,590.32x = 40,017,400,620.76
  5. Step 5: Solve for x
    x = 40,017,400,620.76/224,590.32
  6. Step 6: Final answer
    x = 178,179.54

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.