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Finding the Fourth Proportional to 290,576.22, 435,863.67 and 77,344.17

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Solution

The fourth proportional to 290,576.22, 435,863.67 and 77,344.17 is: 116,016.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,576.22 : 435,863.67 = 77,344.17 : x
  2. Step 2: Convert to fraction form
    290,576.22/435,863.67 = 77,344.17/x
  3. Step 3: Cross multiply
    290,576.22x = 435,863.67 × 77,344.17
  4. Step 4: Simplify right side
    290,576.22x = 33,711,513,789.30
  5. Step 5: Solve for x
    x = 33,711,513,789.30/290,576.22
  6. Step 6: Final answer
    x = 116,016.08

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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.