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Finding the Fourth Proportional to 381,062.33, 525,873.22 and 208,969.39

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Solution

The fourth proportional to 381,062.33, 525,873.22 and 208,969.39 is: 288,381.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,062.33 : 525,873.22 = 208,969.39 : x
  2. Step 2: Convert to fraction form
    381,062.33/525,873.22 = 208,969.39/x
  3. Step 3: Cross multiply
    381,062.33x = 525,873.22 × 208,969.39
  4. Step 4: Simplify right side
    381,062.33x = 109,891,403,893.79
  5. Step 5: Solve for x
    x = 109,891,403,893.79/381,062.33
  6. Step 6: Final answer
    x = 288,381.71

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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.