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Finding the Fourth Proportional to 261,202.80, 391,804.28 and 172,435.54

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Solution

The fourth proportional to 261,202.80, 391,804.28 and 172,435.54 is: 258,653.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,202.80 : 391,804.28 = 172,435.54 : x
  2. Step 2: Convert to fraction form
    261,202.80/391,804.28 = 172,435.54/x
  3. Step 3: Cross multiply
    261,202.80x = 391,804.28 × 172,435.54
  4. Step 4: Simplify right side
    261,202.80x = 67,560,982,596.11
  5. Step 5: Solve for x
    x = 67,560,982,596.11/261,202.80
  6. Step 6: Final answer
    x = 258,653.36

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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.