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Finding the Fourth Proportional to 269,307.49, 404,020.36 and 79,782.70

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Solution

The fourth proportional to 269,307.49, 404,020.36 and 79,782.70 is: 119,691.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,307.49 : 404,020.36 = 79,782.70 : x
  2. Step 2: Convert to fraction form
    269,307.49/404,020.36 = 79,782.70/x
  3. Step 3: Cross multiply
    269,307.49x = 404,020.36 × 79,782.70
  4. Step 4: Simplify right side
    269,307.49x = 32,233,833,155.67
  5. Step 5: Solve for x
    x = 32,233,833,155.67/269,307.49
  6. Step 6: Final answer
    x = 119,691.56

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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.