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Finding the Fourth Proportional to 421,429.72, 632,039.34 and 165,314.34

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Solution

The fourth proportional to 421,429.72, 632,039.34 and 165,314.34 is: 247,930.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,429.72 : 632,039.34 = 165,314.34 : x
  2. Step 2: Convert to fraction form
    421,429.72/632,039.34 = 165,314.34/x
  3. Step 3: Cross multiply
    421,429.72x = 632,039.34 × 165,314.34
  4. Step 4: Simplify right side
    421,429.72x = 104,485,165,188.45
  5. Step 5: Solve for x
    x = 104,485,165,188.45/421,429.72
  6. Step 6: Final answer
    x = 247,930.23

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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.