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Finding the Fourth Proportional to 421,745.83, 632,553.80 and 137,435.69

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Solution

The fourth proportional to 421,745.83, 632,553.80 and 137,435.69 is: 206,132.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,745.83 : 632,553.80 = 137,435.69 : x
  2. Step 2: Convert to fraction form
    421,745.83/632,553.80 = 137,435.69/x
  3. Step 3: Cross multiply
    421,745.83x = 632,553.80 × 137,435.69
  4. Step 4: Simplify right side
    421,745.83x = 86,935,468,859.33
  5. Step 5: Solve for x
    x = 86,935,468,859.33/421,745.83
  6. Step 6: Final answer
    x = 206,132.37

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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.