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Finding the Fourth Proportional to 508,552.78, 762,804.51 and 188,766.97

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Solution

The fourth proportional to 508,552.78, 762,804.51 and 188,766.97 is: 283,141.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,552.78 : 762,804.51 = 188,766.97 : x
  2. Step 2: Convert to fraction form
    508,552.78/762,804.51 = 188,766.97/x
  3. Step 3: Cross multiply
    508,552.78x = 762,804.51 × 188,766.97
  4. Step 4: Simplify right side
    508,552.78x = 143,992,297,730.92
  5. Step 5: Solve for x
    x = 143,992,297,730.92/508,552.78
  6. Step 6: Final answer
    x = 283,141.31

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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.