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Finding the Fourth Proportional to 381,661.64, 526,672.50 and 211,884.83

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Solution

The fourth proportional to 381,661.64, 526,672.50 and 211,884.83 is: 292,389.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,661.64 : 526,672.50 = 211,884.83 : x
  2. Step 2: Convert to fraction form
    381,661.64/526,672.50 = 211,884.83/x
  3. Step 3: Cross multiply
    381,661.64x = 526,672.50 × 211,884.83
  4. Step 4: Simplify right side
    381,661.64x = 111,593,913,128.18
  5. Step 5: Solve for x
    x = 111,593,913,128.18/381,661.64
  6. Step 6: Final answer
    x = 292,389.65

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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.