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Finding the Fourth Proportional to 381,609.16, 526,594.25 and 211,829.92

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Solution

The fourth proportional to 381,609.16, 526,594.25 and 211,829.92 is: 292,310.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,609.16 : 526,594.25 = 211,829.92 : x
  2. Step 2: Convert to fraction form
    381,609.16/526,594.25 = 211,829.92/x
  3. Step 3: Cross multiply
    381,609.16x = 526,594.25 × 211,829.92
  4. Step 4: Simplify right side
    381,609.16x = 111,548,417,849.96
  5. Step 5: Solve for x
    x = 111,548,417,849.96/381,609.16
  6. Step 6: Final answer
    x = 292,310.64

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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.