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Finding the Fourth Proportional to 381,895.82, 527,032.91 and 212,129.94

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Solution

The fourth proportional to 381,895.82, 527,032.91 and 212,129.94 is: 292,748.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,895.82 : 527,032.91 = 212,129.94 : x
  2. Step 2: Convert to fraction form
    381,895.82/527,032.91 = 212,129.94/x
  3. Step 3: Cross multiply
    381,895.82x = 527,032.91 × 212,129.94
  4. Step 4: Simplify right side
    381,895.82x = 111,799,459,576.33
  5. Step 5: Solve for x
    x = 111,799,459,576.33/381,895.82
  6. Step 6: Final answer
    x = 292,748.58

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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.