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Finding the Fourth Proportional to 290,784.31, 436,175.97 and 91,120.03

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Solution

The fourth proportional to 290,784.31, 436,175.97 and 91,120.03 is: 136,679.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,784.31 : 436,175.97 = 91,120.03 : x
  2. Step 2: Convert to fraction form
    290,784.31/436,175.97 = 91,120.03/x
  3. Step 3: Cross multiply
    290,784.31x = 436,175.97 × 91,120.03
  4. Step 4: Simplify right side
    290,784.31x = 39,744,367,471.68
  5. Step 5: Solve for x
    x = 39,744,367,471.68/290,784.31
  6. Step 6: Final answer
    x = 136,679.89

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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.