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Finding the Fourth Proportional to 422,538.26, 633,807.20 and 102,688.43

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Solution

The fourth proportional to 422,538.26, 633,807.20 and 102,688.43 is: 154,032.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,538.26 : 633,807.20 = 102,688.43 : x
  2. Step 2: Convert to fraction form
    422,538.26/633,807.20 = 102,688.43/x
  3. Step 3: Cross multiply
    422,538.26x = 633,807.20 × 102,688.43
  4. Step 4: Simplify right side
    422,538.26x = 65,084,663,378.38
  5. Step 5: Solve for x
    x = 65,084,663,378.38/422,538.26
  6. Step 6: Final answer
    x = 154,032.59

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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.