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Finding the Fourth Proportional to 381,425.17, 526,369.85 and 211,662.13

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Solution

The fourth proportional to 381,425.17, 526,369.85 and 211,662.13 is: 292,095.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,425.17 : 526,369.85 = 211,662.13 : x
  2. Step 2: Convert to fraction form
    381,425.17/526,369.85 = 211,662.13/x
  3. Step 3: Cross multiply
    381,425.17x = 526,369.85 × 211,662.13
  4. Step 4: Simplify right side
    381,425.17x = 111,412,563,618.78
  5. Step 5: Solve for x
    x = 111,412,563,618.78/381,425.17
  6. Step 6: Final answer
    x = 292,095.47

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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.