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Finding the Fourth Proportional to 421,745.84, 632,553.78 and 137,435.69

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Solution

The fourth proportional to 421,745.84, 632,553.78 and 137,435.69 is: 206,132.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,745.84 : 632,553.78 = 137,435.69 : x
  2. Step 2: Convert to fraction form
    421,745.84/632,553.78 = 137,435.69/x
  3. Step 3: Cross multiply
    421,745.84x = 632,553.78 × 137,435.69
  4. Step 4: Simplify right side
    421,745.84x = 86,935,462,053.64
  5. Step 5: Solve for x
    x = 86,935,462,053.64/421,745.84
  6. Step 6: Final answer
    x = 206,132.35

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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.