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Finding the Fourth Proportional to 405,914.80, 608,872.20 and 125,431.60

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Solution

The fourth proportional to 405,914.80, 608,872.20 and 125,431.60 is: 188,147.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,914.80 : 608,872.20 = 125,431.60 : x
  2. Step 2: Convert to fraction form
    405,914.80/608,872.20 = 125,431.60/x
  3. Step 3: Cross multiply
    405,914.80x = 608,872.20 × 125,431.60
  4. Step 4: Simplify right side
    405,914.80x = 76,371,814,241.52
  5. Step 5: Solve for x
    x = 76,371,814,241.52/405,914.80
  6. Step 6: Final answer
    x = 188,147.40

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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.