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Finding the Fourth Proportional to 431,830.14, 647,744.19 and 116,287.32

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Solution

The fourth proportional to 431,830.14, 647,744.19 and 116,287.32 is: 174,430.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,830.14 : 647,744.19 = 116,287.32 : x
  2. Step 2: Convert to fraction form
    431,830.14/647,744.19 = 116,287.32/x
  3. Step 3: Cross multiply
    431,830.14x = 647,744.19 × 116,287.32
  4. Step 4: Simplify right side
    431,830.14x = 75,324,435,900.67
  5. Step 5: Solve for x
    x = 75,324,435,900.67/431,830.14
  6. Step 6: Final answer
    x = 174,430.71

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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.