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Finding the Fourth Proportional to 295,471.72, 407,750.34 and 161,335.72

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Solution

The fourth proportional to 295,471.72, 407,750.34 and 161,335.72 is: 222,642.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,471.72 : 407,750.34 = 161,335.72 : x
  2. Step 2: Convert to fraction form
    295,471.72/407,750.34 = 161,335.72/x
  3. Step 3: Cross multiply
    295,471.72x = 407,750.34 × 161,335.72
  4. Step 4: Simplify right side
    295,471.72x = 65,784,694,684.14
  5. Step 5: Solve for x
    x = 65,784,694,684.14/295,471.72
  6. Step 6: Final answer
    x = 222,642.95

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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.