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Finding the Fourth Proportional to 429,464.62, 644,065.71 and 204,706.63

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Solution

The fourth proportional to 429,464.62, 644,065.71 and 204,706.63 is: 306,997.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,464.62 : 644,065.71 = 204,706.63 : x
  2. Step 2: Convert to fraction form
    429,464.62/644,065.71 = 204,706.63/x
  3. Step 3: Cross multiply
    429,464.62x = 644,065.71 × 204,706.63
  4. Step 4: Simplify right side
    429,464.62x = 131,844,520,992.66
  5. Step 5: Solve for x
    x = 131,844,520,992.66/429,464.62
  6. Step 6: Final answer
    x = 306,997.40

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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.