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Finding the Fourth Proportional to 419,931.80, 629,713 and 153,623.24

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Solution

The fourth proportional to 419,931.80, 629,713 and 153,623.24 is: 230,367.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,931.80 : 629,713 = 153,623.24 : x
  2. Step 2: Convert to fraction form
    419,931.80/629,713 = 153,623.24/x
  3. Step 3: Cross multiply
    419,931.80x = 629,713 × 153,623.24
  4. Step 4: Simplify right side
    419,931.80x = 96,738,551,330.12
  5. Step 5: Solve for x
    x = 96,738,551,330.12/419,931.80
  6. Step 6: Final answer
    x = 230,367.29

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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.