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Finding the Fourth Proportional to 381,712.92, 526,779.90 and 211,962.84

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Solution

The fourth proportional to 381,712.92, 526,779.90 and 211,962.84 is: 292,517.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,712.92 : 526,779.90 = 211,962.84 : x
  2. Step 2: Convert to fraction form
    381,712.92/526,779.90 = 211,962.84/x
  3. Step 3: Cross multiply
    381,712.92x = 526,779.90 × 211,962.84
  4. Step 4: Simplify right side
    381,712.92x = 111,657,763,658.92
  5. Step 5: Solve for x
    x = 111,657,763,658.92/381,712.92
  6. Step 6: Final answer
    x = 292,517.64

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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.