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Finding the Fourth Proportional to 381,427.76, 526,372.35 and 211,661.89

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Solution

The fourth proportional to 381,427.76, 526,372.35 and 211,661.89 is: 292,094.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,427.76 : 526,372.35 = 211,661.89 : x
  2. Step 2: Convert to fraction form
    381,427.76/526,372.35 = 211,661.89/x
  3. Step 3: Cross multiply
    381,427.76x = 526,372.35 × 211,661.89
  4. Step 4: Simplify right side
    381,427.76x = 111,412,966,444.74
  5. Step 5: Solve for x
    x = 111,412,966,444.74/381,427.76
  6. Step 6: Final answer
    x = 292,094.54

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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.