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Finding the Fourth Proportional to 290,777.80, 435,466.84 and 196,999.24

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Solution

The fourth proportional to 290,777.80, 435,466.84 and 196,999.24 is: 295,024.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,777.80 : 435,466.84 = 196,999.24 : x
  2. Step 2: Convert to fraction form
    290,777.80/435,466.84 = 196,999.24/x
  3. Step 3: Cross multiply
    290,777.80x = 435,466.84 × 196,999.24
  4. Step 4: Simplify right side
    290,777.80x = 85,786,636,525.20
  5. Step 5: Solve for x
    x = 85,786,636,525.20/290,777.80
  6. Step 6: Final answer
    x = 295,024.71

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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.