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Finding the Fourth Proportional to 288,339.94, 397,829.21 and 165,825.64

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Solution

The fourth proportional to 288,339.94, 397,829.21 and 165,825.64 is: 228,793.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,339.94 : 397,829.21 = 165,825.64 : x
  2. Step 2: Convert to fraction form
    288,339.94/397,829.21 = 165,825.64/x
  3. Step 3: Cross multiply
    288,339.94x = 397,829.21 × 165,825.64
  4. Step 4: Simplify right side
    288,339.94x = 65,970,281,722.08
  5. Step 5: Solve for x
    x = 65,970,281,722.08/288,339.94
  6. Step 6: Final answer
    x = 228,793.43

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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.