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Finding the Fourth Proportional to 288,399.08, 397,986.58 and 161,076.52

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Solution

The fourth proportional to 288,399.08, 397,986.58 and 161,076.52 is: 222,283.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,399.08 : 397,986.58 = 161,076.52 : x
  2. Step 2: Convert to fraction form
    288,399.08/397,986.58 = 161,076.52/x
  3. Step 3: Cross multiply
    288,399.08x = 397,986.58 × 161,076.52
  4. Step 4: Simplify right side
    288,399.08x = 64,106,293,313.10
  5. Step 5: Solve for x
    x = 64,106,293,313.10/288,399.08
  6. Step 6: Final answer
    x = 222,283.28

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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.