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Finding the Fourth Proportional to 490,757.02, 736,420.97 and 206,426.78

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Solution

The fourth proportional to 490,757.02, 736,420.97 and 206,426.78 is: 309,760.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,757.02 : 736,420.97 = 206,426.78 : x
  2. Step 2: Convert to fraction form
    490,757.02/736,420.97 = 206,426.78/x
  3. Step 3: Cross multiply
    490,757.02x = 736,420.97 × 206,426.78
  4. Step 4: Simplify right side
    490,757.02x = 152,017,009,561.58
  5. Step 5: Solve for x
    x = 152,017,009,561.58/490,757.02
  6. Step 6: Final answer
    x = 309,760.23

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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.