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Finding the Fourth Proportional to 523,713, 722,723.94 and 285,249

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Solution

The fourth proportional to 523,713, 722,723.94 and 285,249 is: 393,643.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,713 : 722,723.94 = 285,249 : x
  2. Step 2: Convert to fraction form
    523,713/722,723.94 = 285,249/x
  3. Step 3: Cross multiply
    523,713x = 722,723.94 × 285,249
  4. Step 4: Simplify right side
    523,713x = 206,156,281,161.06
  5. Step 5: Solve for x
    x = 206,156,281,161.06/523,713
  6. Step 6: Final answer
    x = 393,643.62

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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.