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Finding the Fourth Proportional to 268,847.80, 403,401.30 and 189,791.80

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Solution

The fourth proportional to 268,847.80, 403,401.30 and 189,791.80 is: 284,779.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,847.80 : 403,401.30 = 189,791.80 : x
  2. Step 2: Convert to fraction form
    268,847.80/403,401.30 = 189,791.80/x
  3. Step 3: Cross multiply
    268,847.80x = 403,401.30 × 189,791.80
  4. Step 4: Simplify right side
    268,847.80x = 76,562,258,849.34
  5. Step 5: Solve for x
    x = 76,562,258,849.34/268,847.80
  6. Step 6: Final answer
    x = 284,779.19

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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.