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Finding the Fourth Proportional to 419,412.48, 629,389.38 and 153,150.70

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Solution

The fourth proportional to 419,412.48, 629,389.38 and 153,150.70 is: 229,824.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,412.48 : 629,389.38 = 153,150.70 : x
  2. Step 2: Convert to fraction form
    419,412.48/629,389.38 = 153,150.70/x
  3. Step 3: Cross multiply
    419,412.48x = 629,389.38 × 153,150.70
  4. Step 4: Simplify right side
    419,412.48x = 96,391,424,119.57
  5. Step 5: Solve for x
    x = 96,391,424,119.57/419,412.48
  6. Step 6: Final answer
    x = 229,824.88

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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.