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Finding the Fourth Proportional to 493,323.92, 739,542.96 and 409,622

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Solution

The fourth proportional to 493,323.92, 739,542.96 and 409,622 is: 614,065.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,323.92 : 739,542.96 = 409,622 : x
  2. Step 2: Convert to fraction form
    493,323.92/739,542.96 = 409,622/x
  3. Step 3: Cross multiply
    493,323.92x = 739,542.96 × 409,622
  4. Step 4: Simplify right side
    493,323.92x = 302,933,066,361.12
  5. Step 5: Solve for x
    x = 302,933,066,361.12/493,323.92
  6. Step 6: Final answer
    x = 614,065.23

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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.