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Finding the Fourth Proportional to 405,107.30, 606,494.55 and 363,116.90

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Solution

The fourth proportional to 405,107.30, 606,494.55 and 363,116.90 is: 543,629.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,107.30 : 606,494.55 = 363,116.90 : x
  2. Step 2: Convert to fraction form
    405,107.30/606,494.55 = 363,116.90/x
  3. Step 3: Cross multiply
    405,107.30x = 606,494.55 × 363,116.90
  4. Step 4: Simplify right side
    405,107.30x = 220,228,420,862.90
  5. Step 5: Solve for x
    x = 220,228,420,862.90/405,107.30
  6. Step 6: Final answer
    x = 543,629.85

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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.