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Finding the Fourth Proportional to 381,775.54, 526,856.57 and 209,709.41

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Solution

The fourth proportional to 381,775.54, 526,856.57 and 209,709.41 is: 289,402.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,775.54 : 526,856.57 = 209,709.41 : x
  2. Step 2: Convert to fraction form
    381,775.54/526,856.57 = 209,709.41/x
  3. Step 3: Cross multiply
    381,775.54x = 526,856.57 × 209,709.41
  4. Step 4: Simplify right side
    381,775.54x = 110,486,780,449.32
  5. Step 5: Solve for x
    x = 110,486,780,449.32/381,775.54
  6. Step 6: Final answer
    x = 289,402.46

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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.