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Finding the Fourth Proportional to 288,340.94, 397,830.59 and 165,826.64

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Solution

The fourth proportional to 288,340.94, 397,830.59 and 165,826.64 is: 228,794.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,340.94 : 397,830.59 = 165,826.64 : x
  2. Step 2: Convert to fraction form
    288,340.94/397,830.59 = 165,826.64/x
  3. Step 3: Cross multiply
    288,340.94x = 397,830.59 × 165,826.64
  4. Step 4: Simplify right side
    288,340.94x = 65,970,910,028.92
  5. Step 5: Solve for x
    x = 65,970,910,028.92/288,340.94
  6. Step 6: Final answer
    x = 228,794.81

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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.