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Finding the Fourth Proportional to 324,419.63, 447,668.28 and 188,449.88

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Solution

The fourth proportional to 324,419.63, 447,668.28 and 188,449.88 is: 260,042.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,419.63 : 447,668.28 = 188,449.88 : x
  2. Step 2: Convert to fraction form
    324,419.63/447,668.28 = 188,449.88/x
  3. Step 3: Cross multiply
    324,419.63x = 447,668.28 × 188,449.88
  4. Step 4: Simplify right side
    324,419.63x = 84,363,031,407.47
  5. Step 5: Solve for x
    x = 84,363,031,407.47/324,419.63
  6. Step 6: Final answer
    x = 260,042.93

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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.