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Finding the Fourth Proportional to 381,786.52, 526,871.76 and 209,720.44

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Solution

The fourth proportional to 381,786.52, 526,871.76 and 209,720.44 is: 289,417.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,786.52 : 526,871.76 = 209,720.44 : x
  2. Step 2: Convert to fraction form
    381,786.52/526,871.76 = 209,720.44/x
  3. Step 3: Cross multiply
    381,786.52x = 526,871.76 × 209,720.44
  4. Step 4: Simplify right side
    381,786.52x = 110,495,777,330.77
  5. Step 5: Solve for x
    x = 110,495,777,330.77/381,786.52
  6. Step 6: Final answer
    x = 289,417.70

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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.