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Finding the Fourth Proportional to 431,875.84, 647,204.82 and 203,928.25

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Solution

The fourth proportional to 431,875.84, 647,204.82 and 203,928.25 is: 305,604.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,875.84 : 647,204.82 = 203,928.25 : x
  2. Step 2: Convert to fraction form
    431,875.84/647,204.82 = 203,928.25/x
  3. Step 3: Cross multiply
    431,875.84x = 647,204.82 × 203,928.25
  4. Step 4: Simplify right side
    431,875.84x = 131,983,344,716.15
  5. Step 5: Solve for x
    x = 131,983,344,716.15/431,875.84
  6. Step 6: Final answer
    x = 305,604.83

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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.