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Finding the Fourth Proportional to 378,103.43, 521,432.03 and 275,967.08

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Solution

The fourth proportional to 378,103.43, 521,432.03 and 275,967.08 is: 380,578.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,103.43 : 521,432.03 = 275,967.08 : x
  2. Step 2: Convert to fraction form
    378,103.43/521,432.03 = 275,967.08/x
  3. Step 3: Cross multiply
    378,103.43x = 521,432.03 × 275,967.08
  4. Step 4: Simplify right side
    378,103.43x = 143,898,074,661.32
  5. Step 5: Solve for x
    x = 143,898,074,661.32/378,103.43
  6. Step 6: Final answer
    x = 380,578.61

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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.