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Finding the Fourth Proportional to 378,176.58, 521,876.71 and 206,095.92

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Solution

The fourth proportional to 378,176.58, 521,876.71 and 206,095.92 is: 284,408.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,176.58 : 521,876.71 = 206,095.92 : x
  2. Step 2: Convert to fraction form
    378,176.58/521,876.71 = 206,095.92/x
  3. Step 3: Cross multiply
    378,176.58x = 521,876.71 × 206,095.92
  4. Step 4: Simplify right side
    378,176.58x = 107,556,660,674.02
  5. Step 5: Solve for x
    x = 107,556,660,674.02/378,176.58
  6. Step 6: Final answer
    x = 284,408.57

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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.