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Finding the Fourth Proportional to 381,342.66, 526,285.56 and 209,293.88

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Solution

The fourth proportional to 381,342.66, 526,285.56 and 209,293.88 is: 288,843.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,342.66 : 526,285.56 = 209,293.88 : x
  2. Step 2: Convert to fraction form
    381,342.66/526,285.56 = 209,293.88/x
  3. Step 3: Cross multiply
    381,342.66x = 526,285.56 × 209,293.88
  4. Step 4: Simplify right side
    381,342.66x = 110,148,344,208.95
  5. Step 5: Solve for x
    x = 110,148,344,208.95/381,342.66
  6. Step 6: Final answer
    x = 288,843.49

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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.