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Finding the Fourth Proportional to 429,473.88, 644,079.58 and 204,715.90

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Solution

The fourth proportional to 429,473.88, 644,079.58 and 204,715.90 is: 307,011.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,473.88 : 644,079.58 = 204,715.90 : x
  2. Step 2: Convert to fraction form
    429,473.88/644,079.58 = 204,715.90/x
  3. Step 3: Cross multiply
    429,473.88x = 644,079.58 × 204,715.90
  4. Step 4: Simplify right side
    429,473.88x = 131,853,330,891.32
  5. Step 5: Solve for x
    x = 131,853,330,891.32/429,473.88
  6. Step 6: Final answer
    x = 307,011.29

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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.