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Finding the Fourth Proportional to 290,765.80, 435,448.86 and 196,987.24

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Solution

The fourth proportional to 290,765.80, 435,448.86 and 196,987.24 is: 295,006.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,765.80 : 435,448.86 = 196,987.24 : x
  2. Step 2: Convert to fraction form
    290,765.80/435,448.86 = 196,987.24/x
  3. Step 3: Cross multiply
    290,765.80x = 435,448.86 × 196,987.24
  4. Step 4: Simplify right side
    290,765.80x = 85,777,869,092.55
  5. Step 5: Solve for x
    x = 85,777,869,092.55/290,765.80
  6. Step 6: Final answer
    x = 295,006.73

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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.