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Finding the Fourth Proportional to 421,439.52, 632,054.05 and 165,324.15

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Solution

The fourth proportional to 421,439.52, 632,054.05 and 165,324.15 is: 247,944.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,439.52 : 632,054.05 = 165,324.15 : x
  2. Step 2: Convert to fraction form
    421,439.52/632,054.05 = 165,324.15/x
  3. Step 3: Cross multiply
    421,439.52x = 632,054.05 × 165,324.15
  4. Step 4: Simplify right side
    421,439.52x = 104,493,794,583.42
  5. Step 5: Solve for x
    x = 104,493,794,583.42/421,439.52
  6. Step 6: Final answer
    x = 247,944.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.