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Finding the Fourth Proportional to 305,845.66, 422,066.86 and 169,892.22

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Solution

The fourth proportional to 305,845.66, 422,066.86 and 169,892.22 is: 234,451.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,845.66 : 422,066.86 = 169,892.22 : x
  2. Step 2: Convert to fraction form
    305,845.66/422,066.86 = 169,892.22/x
  3. Step 3: Cross multiply
    305,845.66x = 422,066.86 × 169,892.22
  4. Step 4: Simplify right side
    305,845.66x = 71,705,875,833.83
  5. Step 5: Solve for x
    x = 71,705,875,833.83/305,845.66
  6. Step 6: Final answer
    x = 234,451.18

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1.5x scale

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.