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Finding the Fourth Proportional to 420,067.08, 579,671.64 and 238,755.24

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Solution

The fourth proportional to 420,067.08, 579,671.64 and 238,755.24 is: 329,470.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,067.08 : 579,671.64 = 238,755.24 : x
  2. Step 2: Convert to fraction form
    420,067.08/579,671.64 = 238,755.24/x
  3. Step 3: Cross multiply
    420,067.08x = 579,671.64 × 238,755.24
  4. Step 4: Simplify right side
    420,067.08x = 138,399,641,529.39
  5. Step 5: Solve for x
    x = 138,399,641,529.39/420,067.08
  6. Step 6: Final answer
    x = 329,470.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.