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Finding the Fourth Proportional to 324,420.96, 447,696.54 and 188,531.76

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Solution

The fourth proportional to 324,420.96, 447,696.54 and 188,531.76 is: 260,171.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,420.96 : 447,696.54 = 188,531.76 : x
  2. Step 2: Convert to fraction form
    324,420.96/447,696.54 = 188,531.76/x
  3. Step 3: Cross multiply
    324,420.96x = 447,696.54 × 188,531.76
  4. Step 4: Simplify right side
    324,420.96x = 84,405,016,632.11
  5. Step 5: Solve for x
    x = 84,405,016,632.11/324,420.96
  6. Step 6: Final answer
    x = 260,171.28

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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.