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Finding the Fourth Proportional to 429,958.62, 645,197.13 and 149,672.70

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Solution

The fourth proportional to 429,958.62, 645,197.13 and 149,672.70 is: 224,599.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,958.62 : 645,197.13 = 149,672.70 : x
  2. Step 2: Convert to fraction form
    429,958.62/645,197.13 = 149,672.70/x
  3. Step 3: Cross multiply
    429,958.62x = 645,197.13 × 149,672.70
  4. Step 4: Simplify right side
    429,958.62x = 96,568,396,479.35
  5. Step 5: Solve for x
    x = 96,568,396,479.35/429,958.62
  6. Step 6: Final answer
    x = 224,599.28

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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.