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Finding the Fourth Proportional to 397,806.29, 549,217.97 and 273,838.93

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Solution

The fourth proportional to 397,806.29, 549,217.97 and 273,838.93 is: 378,066.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,806.29 : 549,217.97 = 273,838.93 : x
  2. Step 2: Convert to fraction form
    397,806.29/549,217.97 = 273,838.93/x
  3. Step 3: Cross multiply
    397,806.29x = 549,217.97 × 273,838.93
  4. Step 4: Simplify right side
    397,806.29x = 150,397,261,241.57
  5. Step 5: Solve for x
    x = 150,397,261,241.57/397,806.29
  6. Step 6: Final answer
    x = 378,066.57

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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.