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Finding the Fourth Proportional to 504,734.40, 757,757.70 and 405,007.20

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Solution

The fourth proportional to 504,734.40, 757,757.70 and 405,007.20 is: 608,037.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,734.40 : 757,757.70 = 405,007.20 : x
  2. Step 2: Convert to fraction form
    504,734.40/757,757.70 = 405,007.20/x
  3. Step 3: Cross multiply
    504,734.40x = 757,757.70 × 405,007.20
  4. Step 4: Simplify right side
    504,734.40x = 306,897,324,355.44
  5. Step 5: Solve for x
    x = 306,897,324,355.44/504,734.40
  6. Step 6: Final answer
    x = 608,037.27

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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.