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Finding the Fourth Proportional to 503,897.05, 695,351.69 and 312,906.37

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Solution

The fourth proportional to 503,897.05, 695,351.69 and 312,906.37 is: 431,794.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,897.05 : 695,351.69 = 312,906.37 : x
  2. Step 2: Convert to fraction form
    503,897.05/695,351.69 = 312,906.37/x
  3. Step 3: Cross multiply
    503,897.05x = 695,351.69 × 312,906.37
  4. Step 4: Simplify right side
    503,897.05x = 217,579,971,626.73
  5. Step 5: Solve for x
    x = 217,579,971,626.73/503,897.05
  6. Step 6: Final answer
    x = 431,794.49

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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.