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Finding the Fourth Proportional to 490,940.70, 736,411.05 and 412,143.90

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Solution

The fourth proportional to 490,940.70, 736,411.05 and 412,143.90 is: 618,215.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,940.70 : 736,411.05 = 412,143.90 : x
  2. Step 2: Convert to fraction form
    490,940.70/736,411.05 = 412,143.90/x
  3. Step 3: Cross multiply
    490,940.70x = 736,411.05 × 412,143.90
  4. Step 4: Simplify right side
    490,940.70x = 303,507,322,150.10
  5. Step 5: Solve for x
    x = 303,507,322,150.10/490,940.70
  6. Step 6: Final answer
    x = 618,215.85

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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.