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Finding the Fourth Proportional to 268,881.80, 403,452.30 and 189,825.80

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Solution

The fourth proportional to 268,881.80, 403,452.30 and 189,825.80 is: 284,830.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,881.80 : 403,452.30 = 189,825.80 : x
  2. Step 2: Convert to fraction form
    268,881.80/403,452.30 = 189,825.80/x
  3. Step 3: Cross multiply
    268,881.80x = 403,452.30 × 189,825.80
  4. Step 4: Simplify right side
    268,881.80x = 76,585,655,609.34
  5. Step 5: Solve for x
    x = 76,585,655,609.34/268,881.80
  6. Step 6: Final answer
    x = 284,830.20

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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.