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Finding the Fourth Proportional to 381,879.63, 527,010.57 and 212,113.76

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Solution

The fourth proportional to 381,879.63, 527,010.57 and 212,113.76 is: 292,726.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,879.63 : 527,010.57 = 212,113.76 : x
  2. Step 2: Convert to fraction form
    381,879.63/527,010.57 = 212,113.76/x
  3. Step 3: Cross multiply
    381,879.63x = 527,010.57 × 212,113.76
  4. Step 4: Simplify right side
    381,879.63x = 111,786,190,927.39
  5. Step 5: Solve for x
    x = 111,786,190,927.39/381,879.63
  6. Step 6: Final answer
    x = 292,726.25

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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.