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Finding the Fourth Proportional to 420,165.41, 629,952.89 and 153,891.32

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Solution

The fourth proportional to 420,165.41, 629,952.89 and 153,891.32 is: 230,728.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,165.41 : 629,952.89 = 153,891.32 : x
  2. Step 2: Convert to fraction form
    420,165.41/629,952.89 = 153,891.32/x
  3. Step 3: Cross multiply
    420,165.41x = 629,952.89 × 153,891.32
  4. Step 4: Simplify right side
    420,165.41x = 96,944,277,860.69
  5. Step 5: Solve for x
    x = 96,944,277,860.69/420,165.41
  6. Step 6: Final answer
    x = 230,728.84

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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.