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Finding the Fourth Proportional to 422,385.99, 633,573.24 and 102,540.33

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Solution

The fourth proportional to 422,385.99, 633,573.24 and 102,540.33 is: 153,809.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,385.99 : 633,573.24 = 102,540.33 : x
  2. Step 2: Convert to fraction form
    422,385.99/633,573.24 = 102,540.33/x
  3. Step 3: Cross multiply
    422,385.99x = 633,573.24 × 102,540.33
  4. Step 4: Simplify right side
    422,385.99x = 64,966,809,301.03
  5. Step 5: Solve for x
    x = 64,966,809,301.03/422,385.99
  6. Step 6: Final answer
    x = 153,809.10

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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.