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Finding the Fourth Proportional to 786,508, 1,179,766.40 and 195,532

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Solution

The fourth proportional to 786,508, 1,179,766.40 and 195,532 is: 293,299.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    786,508 : 1,179,766.40 = 195,532 : x
  2. Step 2: Convert to fraction form
    786,508/1,179,766.40 = 195,532/x
  3. Step 3: Cross multiply
    786,508x = 1,179,766.40 × 195,532
  4. Step 4: Simplify right side
    786,508x = 230,682,083,724.80
  5. Step 5: Solve for x
    x = 230,682,083,724.80/786,508
  6. Step 6: Final answer
    x = 293,299.09

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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.