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Finding the Fourth Proportional to 431,982.87, 647,900.43 and 116,365.95

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Solution

The fourth proportional to 431,982.87, 647,900.43 and 116,365.95 is: 174,529.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,982.87 : 647,900.43 = 116,365.95 : x
  2. Step 2: Convert to fraction form
    431,982.87/647,900.43 = 116,365.95/x
  3. Step 3: Cross multiply
    431,982.87x = 647,900.43 × 116,365.95
  4. Step 4: Simplify right side
    431,982.87x = 75,393,549,042.36
  5. Step 5: Solve for x
    x = 75,393,549,042.36/431,982.87
  6. Step 6: Final answer
    x = 174,529.02

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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.