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Finding the Fourth Proportional to 405,705.20, 608,644.20 and 125,250.80

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Solution

The fourth proportional to 405,705.20, 608,644.20 and 125,250.80 is: 187,902.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,705.20 : 608,644.20 = 125,250.80 : x
  2. Step 2: Convert to fraction form
    405,705.20/608,644.20 = 125,250.80/x
  3. Step 3: Cross multiply
    405,705.20x = 608,644.20 × 125,250.80
  4. Step 4: Simplify right side
    405,705.20x = 76,233,172,965.36
  5. Step 5: Solve for x
    x = 76,233,172,965.36/405,705.20
  6. Step 6: Final answer
    x = 187,902.87

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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.