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Finding the Fourth Proportional to 422,468.69, 633,703.97 and 102,619.13

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Solution

The fourth proportional to 422,468.69, 633,703.97 and 102,619.13 is: 153,928.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,468.69 : 633,703.97 = 102,619.13 : x
  2. Step 2: Convert to fraction form
    422,468.69/633,703.97 = 102,619.13/x
  3. Step 3: Cross multiply
    422,468.69x = 633,703.97 × 102,619.13
  4. Step 4: Simplify right side
    422,468.69x = 65,030,146,397.33
  5. Step 5: Solve for x
    x = 65,030,146,397.33/422,468.69
  6. Step 6: Final answer
    x = 153,928.92

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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.