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Finding the Fourth Proportional to 499,404.23, 748,317.40 and 405,450.71

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Solution

The fourth proportional to 499,404.23, 748,317.40 and 405,450.71 is: 607,535.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,404.23 : 748,317.40 = 405,450.71 : x
  2. Step 2: Convert to fraction form
    499,404.23/748,317.40 = 405,450.71/x
  3. Step 3: Cross multiply
    499,404.23x = 748,317.40 × 405,450.71
  4. Step 4: Simplify right side
    499,404.23x = 303,405,816,380.14
  5. Step 5: Solve for x
    x = 303,405,816,380.14/499,404.23
  6. Step 6: Final answer
    x = 607,535.54

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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.