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Finding the Fourth Proportional to 405,814.14, 608,797.74 and 125,265.78

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Solution

The fourth proportional to 405,814.14, 608,797.74 and 125,265.78 is: 187,922.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,814.14 : 608,797.74 = 125,265.78 : x
  2. Step 2: Convert to fraction form
    405,814.14/608,797.74 = 125,265.78/x
  3. Step 3: Cross multiply
    405,814.14x = 608,797.74 × 125,265.78
  4. Step 4: Simplify right side
    405,814.14x = 76,261,523,763.34
  5. Step 5: Solve for x
    x = 76,261,523,763.34/405,814.14
  6. Step 6: Final answer
    x = 187,922.29

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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.