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Finding the Fourth Proportional to 503,144.06, 694,344.56 and 288,279.81

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Solution

The fourth proportional to 503,144.06, 694,344.56 and 288,279.81 is: 397,829.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,144.06 : 694,344.56 = 288,279.81 : x
  2. Step 2: Convert to fraction form
    503,144.06/694,344.56 = 288,279.81/x
  3. Step 3: Cross multiply
    503,144.06x = 694,344.56 × 288,279.81
  4. Step 4: Simplify right side
    503,144.06x = 200,165,516,389.94
  5. Step 5: Solve for x
    x = 200,165,516,389.94/503,144.06
  6. Step 6: Final answer
    x = 397,829.44

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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.