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Finding the Fourth Proportional to 381,934.32, 527,051.48 and 212,178.80

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Solution

The fourth proportional to 381,934.32, 527,051.48 and 212,178.80 is: 292,796.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,934.32 : 527,051.48 = 212,178.80 : x
  2. Step 2: Convert to fraction form
    381,934.32/527,051.48 = 212,178.80/x
  3. Step 3: Cross multiply
    381,934.32x = 527,051.48 × 212,178.80
  4. Step 4: Simplify right side
    381,934.32x = 111,829,150,564.62
  5. Step 5: Solve for x
    x = 111,829,150,564.62/381,934.32
  6. Step 6: Final answer
    x = 292,796.81

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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.