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Finding the Fourth Proportional to 381,336.96, 526,243.54 and 209,257.80

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Solution

The fourth proportional to 381,336.96, 526,243.54 and 209,257.80 is: 288,774.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,336.96 : 526,243.54 = 209,257.80 : x
  2. Step 2: Convert to fraction form
    381,336.96/526,243.54 = 209,257.80/x
  3. Step 3: Cross multiply
    381,336.96x = 526,243.54 × 209,257.80
  4. Step 4: Simplify right side
    381,336.96x = 110,120,565,444.61
  5. Step 5: Solve for x
    x = 110,120,565,444.61/381,336.96
  6. Step 6: Final answer
    x = 288,774.96

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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.