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Finding the Fourth Proportional to 523,675, 722,671.50 and 285,211

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Solution

The fourth proportional to 523,675, 722,671.50 and 285,211 is: 393,591.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,675 : 722,671.50 = 285,211 : x
  2. Step 2: Convert to fraction form
    523,675/722,671.50 = 285,211/x
  3. Step 3: Cross multiply
    523,675x = 722,671.50 × 285,211
  4. Step 4: Simplify right side
    523,675x = 206,113,861,186.50
  5. Step 5: Solve for x
    x = 206,113,861,186.50/523,675
  6. Step 6: Final answer
    x = 393,591.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.