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Finding the Fourth Proportional to 381,704.40, 526,702.50 and 211,905.72

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Solution

The fourth proportional to 381,704.40, 526,702.50 and 211,905.72 is: 292,402.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,704.40 : 526,702.50 = 211,905.72 : x
  2. Step 2: Convert to fraction form
    381,704.40/526,702.50 = 211,905.72/x
  3. Step 3: Cross multiply
    381,704.40x = 526,702.50 × 211,905.72
  4. Step 4: Simplify right side
    381,704.40x = 111,611,272,488.30
  5. Step 5: Solve for x
    x = 111,611,272,488.30/381,704.40
  6. Step 6: Final answer
    x = 292,402.37

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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.