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Finding the Fourth Proportional to 503,504.78, 694,816.11 and 288,495.32

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Solution

The fourth proportional to 503,504.78, 694,816.11 and 288,495.32 is: 398,111.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,504.78 : 694,816.11 = 288,495.32 : x
  2. Step 2: Convert to fraction form
    503,504.78/694,816.11 = 288,495.32/x
  3. Step 3: Cross multiply
    503,504.78x = 694,816.11 × 288,495.32
  4. Step 4: Simplify right side
    503,504.78x = 200,451,192,521.53
  5. Step 5: Solve for x
    x = 200,451,192,521.53/503,504.78
  6. Step 6: Final answer
    x = 398,111.80

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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.