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Finding the Fourth Proportional to 305,810.22, 422,023.32 and 167,994.96

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Solution

The fourth proportional to 305,810.22, 422,023.32 and 167,994.96 is: 231,835.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,810.22 : 422,023.32 = 167,994.96 : x
  2. Step 2: Convert to fraction form
    305,810.22/422,023.32 = 167,994.96/x
  3. Step 3: Cross multiply
    305,810.22x = 422,023.32 × 167,994.96
  4. Step 4: Simplify right side
    305,810.22x = 70,897,790,762.47
  5. Step 5: Solve for x
    x = 70,897,790,762.47/305,810.22
  6. Step 6: Final answer
    x = 231,835.91

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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.