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Finding the Fourth Proportional to 381,194.88, 526,111.92 and 211,483.68

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Solution

The fourth proportional to 381,194.88, 526,111.92 and 211,483.68 is: 291,882.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,194.88 : 526,111.92 = 211,483.68 : x
  2. Step 2: Convert to fraction form
    381,194.88/526,111.92 = 211,483.68/x
  3. Step 3: Cross multiply
    381,194.88x = 526,111.92 × 211,483.68
  4. Step 4: Simplify right side
    381,194.88x = 111,264,084,933.47
  5. Step 5: Solve for x
    x = 111,264,084,933.47/381,194.88
  6. Step 6: Final answer
    x = 291,882.42

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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.