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Finding the Fourth Proportional to 381,385.13, 526,311.47 and 211,646.57

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Solution

The fourth proportional to 381,385.13, 526,311.47 and 211,646.57 is: 292,072.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,385.13 : 526,311.47 = 211,646.57 : x
  2. Step 2: Convert to fraction form
    381,385.13/526,311.47 = 211,646.57/x
  3. Step 3: Cross multiply
    381,385.13x = 526,311.47 × 211,646.57
  4. Step 4: Simplify right side
    381,385.13x = 111,392,015,274.72
  5. Step 5: Solve for x
    x = 111,392,015,274.72/381,385.13
  6. Step 6: Final answer
    x = 292,072.26

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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.