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Finding the Fourth Proportional to 257,647.69, 385,860.66 and 204,167.71

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Solution

The fourth proportional to 257,647.69, 385,860.66 and 204,167.71 is: 305,767.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,647.69 : 385,860.66 = 204,167.71 : x
  2. Step 2: Convert to fraction form
    257,647.69/385,860.66 = 204,167.71/x
  3. Step 3: Cross multiply
    257,647.69x = 385,860.66 × 204,167.71
  4. Step 4: Simplify right side
    257,647.69x = 78,780,287,331.29
  5. Step 5: Solve for x
    x = 78,780,287,331.29/257,647.69
  6. Step 6: Final answer
    x = 305,767.49

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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.