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Finding the Fourth Proportional to 290,774.80, 435,462.34 and 196,996.24

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Solution

The fourth proportional to 290,774.80, 435,462.34 and 196,996.24 is: 295,020.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,774.80 : 435,462.34 = 196,996.24 : x
  2. Step 2: Convert to fraction form
    290,774.80/435,462.34 = 196,996.24/x
  3. Step 3: Cross multiply
    290,774.80x = 435,462.34 × 196,996.24
  4. Step 4: Simplify right side
    290,774.80x = 85,784,443,641.60
  5. Step 5: Solve for x
    x = 85,784,443,641.60/290,774.80
  6. Step 6: Final answer
    x = 295,020.21

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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.