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Finding the Fourth Proportional to 503,172, 694,377.36 and 276,812.64

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Solution

The fourth proportional to 503,172, 694,377.36 and 276,812.64 is: 382,001.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,172 : 694,377.36 = 276,812.64 : x
  2. Step 2: Convert to fraction form
    503,172/694,377.36 = 276,812.64/x
  3. Step 3: Cross multiply
    503,172x = 694,377.36 × 276,812.64
  4. Step 4: Simplify right side
    503,172x = 192,212,430,177.83
  5. Step 5: Solve for x
    x = 192,212,430,177.83/503,172
  6. Step 6: Final answer
    x = 382,001.44

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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.