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Finding the Fourth Proportional to 375,278.24, 517,884.72 and 203,198

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Solution

The fourth proportional to 375,278.24, 517,884.72 and 203,198 is: 280,413.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,278.24 : 517,884.72 = 203,198 : x
  2. Step 2: Convert to fraction form
    375,278.24/517,884.72 = 203,198/x
  3. Step 3: Cross multiply
    375,278.24x = 517,884.72 × 203,198
  4. Step 4: Simplify right side
    375,278.24x = 105,233,139,334.56
  5. Step 5: Solve for x
    x = 105,233,139,334.56/375,278.24
  6. Step 6: Final answer
    x = 280,413.65

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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.