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Finding the Fourth Proportional to 381,431.64, 572,175.54 and 100,947

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Solution

The fourth proportional to 381,431.64, 572,175.54 and 100,947 is: 151,427.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,431.64 : 572,175.54 = 100,947 : x
  2. Step 2: Convert to fraction form
    381,431.64/572,175.54 = 100,947/x
  3. Step 3: Cross multiply
    381,431.64x = 572,175.54 × 100,947
  4. Step 4: Simplify right side
    381,431.64x = 57,759,404,236.38
  5. Step 5: Solve for x
    x = 57,759,404,236.38/381,431.64
  6. Step 6: Final answer
    x = 151,427.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.