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Finding the Fourth Proportional to 381,645.78, 526,680.68 and 209,580.72

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Solution

The fourth proportional to 381,645.78, 526,680.68 and 209,580.72 is: 289,226.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,645.78 : 526,680.68 = 209,580.72 : x
  2. Step 2: Convert to fraction form
    381,645.78/526,680.68 = 209,580.72/x
  3. Step 3: Cross multiply
    381,645.78x = 526,680.68 × 209,580.72
  4. Step 4: Simplify right side
    381,645.78x = 110,382,115,076.59
  5. Step 5: Solve for x
    x = 110,382,115,076.59/381,645.78
  6. Step 6: Final answer
    x = 289,226.61

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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.