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Finding the Fourth Proportional to 431,687.20, 647,530.80 and 337,208.80

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Solution

The fourth proportional to 431,687.20, 647,530.80 and 337,208.80 is: 505,813.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,687.20 : 647,530.80 = 337,208.80 : x
  2. Step 2: Convert to fraction form
    431,687.20/647,530.80 = 337,208.80/x
  3. Step 3: Cross multiply
    431,687.20x = 647,530.80 × 337,208.80
  4. Step 4: Simplify right side
    431,687.20x = 218,353,084,031.04
  5. Step 5: Solve for x
    x = 218,353,084,031.04/431,687.20
  6. Step 6: Final answer
    x = 505,813.20

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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.