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Finding the Fourth Proportional to 288,155.36, 397,620.96 and 160,826.64

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Solution

The fourth proportional to 288,155.36, 397,620.96 and 160,826.64 is: 221,922.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,155.36 : 397,620.96 = 160,826.64 : x
  2. Step 2: Convert to fraction form
    288,155.36/397,620.96 = 160,826.64/x
  3. Step 3: Cross multiply
    288,155.36x = 397,620.96 × 160,826.64
  4. Step 4: Simplify right side
    288,155.36x = 63,948,042,990.37
  5. Step 5: Solve for x
    x = 63,948,042,990.37/288,155.36
  6. Step 6: Final answer
    x = 221,922.10

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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.