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Finding the Fourth Proportional to 381,881.34, 527,004.57 and 209,801.52

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Solution

The fourth proportional to 381,881.34, 527,004.57 and 209,801.52 is: 289,530.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,881.34 : 527,004.57 = 209,801.52 : x
  2. Step 2: Convert to fraction form
    381,881.34/527,004.57 = 209,801.52/x
  3. Step 3: Cross multiply
    381,881.34x = 527,004.57 × 209,801.52
  4. Step 4: Simplify right side
    381,881.34x = 110,566,359,832.95
  5. Step 5: Solve for x
    x = 110,566,359,832.95/381,881.34
  6. Step 6: Final answer
    x = 289,530.67

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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.