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Finding the Fourth Proportional to 421,439.02, 632,053.30 and 165,323.65

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Solution

The fourth proportional to 421,439.02, 632,053.30 and 165,323.65 is: 247,944.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,439.02 : 632,053.30 = 165,323.65 : x
  2. Step 2: Convert to fraction form
    421,439.02/632,053.30 = 165,323.65/x
  3. Step 3: Cross multiply
    421,439.02x = 632,053.30 × 165,323.65
  4. Step 4: Simplify right side
    421,439.02x = 104,493,354,563.66
  5. Step 5: Solve for x
    x = 104,493,354,563.66/421,439.02
  6. Step 6: Final answer
    x = 247,944.19

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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.