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Finding the Fourth Proportional to 431,876.59, 647,205.95 and 203,929

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Solution

The fourth proportional to 431,876.59, 647,205.95 and 203,929 is: 305,605.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,876.59 : 647,205.95 = 203,929 : x
  2. Step 2: Convert to fraction form
    431,876.59/647,205.95 = 203,929/x
  3. Step 3: Cross multiply
    431,876.59x = 647,205.95 × 203,929
  4. Step 4: Simplify right side
    431,876.59x = 131,984,061,157.91
  5. Step 5: Solve for x
    x = 131,984,061,157.91/431,876.59
  6. Step 6: Final answer
    x = 305,605.96

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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.