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Finding the Fourth Proportional to 290,101.75, 435,283.17 and 156,825.97

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Solution

The fourth proportional to 290,101.75, 435,283.17 and 156,825.97 is: 235,309.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,101.75 : 435,283.17 = 156,825.97 : x
  2. Step 2: Convert to fraction form
    290,101.75/435,283.17 = 156,825.97/x
  3. Step 3: Cross multiply
    290,101.75x = 435,283.17 × 156,825.97
  4. Step 4: Simplify right side
    290,101.75x = 68,263,706,132.09
  5. Step 5: Solve for x
    x = 68,263,706,132.09/290,101.75
  6. Step 6: Final answer
    x = 235,309.53

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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.