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Finding the Fourth Proportional to 381,174, 526,024.20 and 211,419.04

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Solution

The fourth proportional to 381,174, 526,024.20 and 211,419.04 is: 291,760.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,174 : 526,024.20 = 211,419.04 : x
  2. Step 2: Convert to fraction form
    381,174/526,024.20 = 211,419.04/x
  3. Step 3: Cross multiply
    381,174x = 526,024.20 × 211,419.04
  4. Step 4: Simplify right side
    381,174x = 111,211,531,380.77
  5. Step 5: Solve for x
    x = 111,211,531,380.77/381,174
  6. Step 6: Final answer
    x = 291,760.54

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1.5x scale

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.