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Finding the Fourth Proportional to 490,940.20, 736,410.30 and 412,143.40

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Solution

The fourth proportional to 490,940.20, 736,410.30 and 412,143.40 is: 618,215.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,940.20 : 736,410.30 = 412,143.40 : x
  2. Step 2: Convert to fraction form
    490,940.20/736,410.30 = 412,143.40/x
  3. Step 3: Cross multiply
    490,940.20x = 736,410.30 × 412,143.40
  4. Step 4: Simplify right side
    490,940.20x = 303,506,644,837.02
  5. Step 5: Solve for x
    x = 303,506,644,837.02/490,940.20
  6. Step 6: Final answer
    x = 618,215.10

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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.