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Finding the Fourth Proportional to 305,874.64, 422,092.72 and 169,917.40

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Solution

The fourth proportional to 305,874.64, 422,092.72 and 169,917.40 is: 234,478.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,874.64 : 422,092.72 = 169,917.40 : x
  2. Step 2: Convert to fraction form
    305,874.64/422,092.72 = 169,917.40/x
  3. Step 3: Cross multiply
    305,874.64x = 422,092.72 × 169,917.40
  4. Step 4: Simplify right side
    305,874.64x = 71,720,897,541.33
  5. Step 5: Solve for x
    x = 71,720,897,541.33/305,874.64
  6. Step 6: Final answer
    x = 234,478.08

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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.