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Finding the Fourth Proportional to 422,383.71, 633,569.79 and 102,538.04

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Solution

The fourth proportional to 422,383.71, 633,569.79 and 102,538.04 is: 153,805.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,383.71 : 633,569.79 = 102,538.04 : x
  2. Step 2: Convert to fraction form
    422,383.71/633,569.79 = 102,538.04/x
  3. Step 3: Cross multiply
    422,383.71x = 633,569.79 × 102,538.04
  4. Step 4: Simplify right side
    422,383.71x = 64,965,001,301.96
  5. Step 5: Solve for x
    x = 64,965,001,301.96/422,383.71
  6. Step 6: Final answer
    x = 153,805.65

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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.