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Finding the Fourth Proportional to 431,877.59, 647,207.44 and 203,930

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Solution

The fourth proportional to 431,877.59, 647,207.44 and 203,930 is: 305,607.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,877.59 : 647,207.44 = 203,930 : x
  2. Step 2: Convert to fraction form
    431,877.59/647,207.44 = 203,930/x
  3. Step 3: Cross multiply
    431,877.59x = 647,207.44 × 203,930
  4. Step 4: Simplify right side
    431,877.59x = 131,985,013,239.20
  5. Step 5: Solve for x
    x = 131,985,013,239.20/431,877.59
  6. Step 6: Final answer
    x = 305,607.46

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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.