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Finding the Fourth Proportional to 301,363.11, 415,879.80 and 165,399.29

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Solution

The fourth proportional to 301,363.11, 415,879.80 and 165,399.29 is: 228,250.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,363.11 : 415,879.80 = 165,399.29 : x
  2. Step 2: Convert to fraction form
    301,363.11/415,879.80 = 165,399.29/x
  3. Step 3: Cross multiply
    301,363.11x = 415,879.80 × 165,399.29
  4. Step 4: Simplify right side
    301,363.11x = 68,786,221,565.94
  5. Step 5: Solve for x
    x = 68,786,221,565.94/301,363.11
  6. Step 6: Final answer
    x = 228,250.30

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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.