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Finding the Fourth Proportional to 490,771.80, 676,976.40 and 309,163.32

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Solution

The fourth proportional to 490,771.80, 676,976.40 and 309,163.32 is: 426,463.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,771.80 : 676,976.40 = 309,163.32 : x
  2. Step 2: Convert to fraction form
    490,771.80/676,976.40 = 309,163.32/x
  3. Step 3: Cross multiply
    490,771.80x = 676,976.40 × 309,163.32
  4. Step 4: Simplify right side
    490,771.80x = 209,296,271,385.65
  5. Step 5: Solve for x
    x = 209,296,271,385.65/490,771.80
  6. Step 6: Final answer
    x = 426,463.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.