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Finding the Fourth Proportional to 421,626.08, 632,435.76 and 172,133.12

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Solution

The fourth proportional to 421,626.08, 632,435.76 and 172,133.12 is: 258,198.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,626.08 : 632,435.76 = 172,133.12 : x
  2. Step 2: Convert to fraction form
    421,626.08/632,435.76 = 172,133.12/x
  3. Step 3: Cross multiply
    421,626.08x = 632,435.76 × 172,133.12
  4. Step 4: Simplify right side
    421,626.08x = 108,863,140,568.37
  5. Step 5: Solve for x
    x = 108,863,140,568.37/421,626.08
  6. Step 6: Final answer
    x = 258,198.31

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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.