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Finding the Fourth Proportional to 288,564.58, 398,218.27 and 161,240.27

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Solution

The fourth proportional to 288,564.58, 398,218.27 and 161,240.27 is: 222,511.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,564.58 : 398,218.27 = 161,240.27 : x
  2. Step 2: Convert to fraction form
    288,564.58/398,218.27 = 161,240.27/x
  3. Step 3: Cross multiply
    288,564.58x = 398,218.27 × 161,240.27
  4. Step 4: Simplify right side
    288,564.58x = 64,208,821,373.73
  5. Step 5: Solve for x
    x = 64,208,821,373.73/288,564.58
  6. Step 6: Final answer
    x = 222,511.10

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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.