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Finding the Fourth Proportional to 288,683.92, 398,396.64 and 161,359.48

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Solution

The fourth proportional to 288,683.92, 398,396.64 and 161,359.48 is: 222,683.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,683.92 : 398,396.64 = 161,359.48 : x
  2. Step 2: Convert to fraction form
    288,683.92/398,396.64 = 161,359.48/x
  3. Step 3: Cross multiply
    288,683.92x = 398,396.64 × 161,359.48
  4. Step 4: Simplify right side
    288,683.92x = 64,285,074,664.15
  5. Step 5: Solve for x
    x = 64,285,074,664.15/288,683.92
  6. Step 6: Final answer
    x = 222,683.25

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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.