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Finding the Fourth Proportional to 288,614.79, 398,289.88 and 161,292.51

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Solution

The fourth proportional to 288,614.79, 398,289.88 and 161,292.51 is: 222,584.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,614.79 : 398,289.88 = 161,292.51 : x
  2. Step 2: Convert to fraction form
    288,614.79/398,289.88 = 161,292.51/x
  3. Step 3: Cross multiply
    288,614.79x = 398,289.88 × 161,292.51
  4. Step 4: Simplify right side
    288,614.79x = 64,241,174,452.80
  5. Step 5: Solve for x
    x = 64,241,174,452.80/288,614.79
  6. Step 6: Final answer
    x = 222,584.49

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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.