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Finding the Fourth Proportional to 381,196, 526,052.94 and 211,430.56

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Solution

The fourth proportional to 381,196, 526,052.94 and 211,430.56 is: 291,775.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,196 : 526,052.94 = 211,430.56 : x
  2. Step 2: Convert to fraction form
    381,196/526,052.94 = 211,430.56/x
  3. Step 3: Cross multiply
    381,196x = 526,052.94 × 211,430.56
  4. Step 4: Simplify right side
    381,196x = 111,223,667,693.85
  5. Step 5: Solve for x
    x = 111,223,667,693.85/381,196
  6. Step 6: Final answer
    x = 291,775.54

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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.