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Finding the Fourth Proportional to 288,141.76, 397,159.68 and 192,613.60

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Solution

The fourth proportional to 288,141.76, 397,159.68 and 192,613.60 is: 265,488.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,141.76 : 397,159.68 = 192,613.60 : x
  2. Step 2: Convert to fraction form
    288,141.76/397,159.68 = 192,613.60/x
  3. Step 3: Cross multiply
    288,141.76x = 397,159.68 × 192,613.60
  4. Step 4: Simplify right side
    288,141.76x = 76,498,355,739.65
  5. Step 5: Solve for x
    x = 76,498,355,739.65/288,141.76
  6. Step 6: Final answer
    x = 265,488.61

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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.