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Finding the Fourth Proportional to 380,956.97, 571,505.42 and 310,504.59

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Solution

The fourth proportional to 380,956.97, 571,505.42 and 310,504.59 is: 465,813.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,956.97 : 571,505.42 = 310,504.59 : x
  2. Step 2: Convert to fraction form
    380,956.97/571,505.42 = 310,504.59/x
  3. Step 3: Cross multiply
    380,956.97x = 571,505.42 × 310,504.59
  4. Step 4: Simplify right side
    380,956.97x = 177,455,056,896.14
  5. Step 5: Solve for x
    x = 177,455,056,896.14/380,956.97
  6. Step 6: Final answer
    x = 465,813.91

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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.