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Finding the Fourth Proportional to 503,721.88, 694,980.04 and 285,895

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Solution

The fourth proportional to 503,721.88, 694,980.04 and 285,895 is: 394,446.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,721.88 : 694,980.04 = 285,895 : x
  2. Step 2: Convert to fraction form
    503,721.88/694,980.04 = 285,895/x
  3. Step 3: Cross multiply
    503,721.88x = 694,980.04 × 285,895
  4. Step 4: Simplify right side
    503,721.88x = 198,691,318,535.80
  5. Step 5: Solve for x
    x = 198,691,318,535.80/503,721.88
  6. Step 6: Final answer
    x = 394,446.47

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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.