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Finding the Fourth Proportional to 431,579.80, 647,368.62 and 116,036.68

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Solution

The fourth proportional to 431,579.80, 647,368.62 and 116,036.68 is: 174,054.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,579.80 : 647,368.62 = 116,036.68 : x
  2. Step 2: Convert to fraction form
    431,579.80/647,368.62 = 116,036.68/x
  3. Step 3: Cross multiply
    431,579.80x = 647,368.62 × 116,036.68
  4. Step 4: Simplify right side
    431,579.80x = 75,118,505,400.98
  5. Step 5: Solve for x
    x = 75,118,505,400.98/431,579.80
  6. Step 6: Final answer
    x = 174,054.73

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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.