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Finding the Fourth Proportional to 288,705.44, 398,406.48 and 161,396

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Solution

The fourth proportional to 288,705.44, 398,406.48 and 161,396 is: 222,722.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,705.44 : 398,406.48 = 161,396 : x
  2. Step 2: Convert to fraction form
    288,705.44/398,406.48 = 161,396/x
  3. Step 3: Cross multiply
    288,705.44x = 398,406.48 × 161,396
  4. Step 4: Simplify right side
    288,705.44x = 64,301,212,246.08
  5. Step 5: Solve for x
    x = 64,301,212,246.08/288,705.44
  6. Step 6: Final answer
    x = 222,722.55

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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.