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Finding the Fourth Proportional to 419,414.48, 629,392.38 and 153,152.70

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Solution

The fourth proportional to 419,414.48, 629,392.38 and 153,152.70 is: 229,827.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,414.48 : 629,392.38 = 153,152.70 : x
  2. Step 2: Convert to fraction form
    419,414.48/629,392.38 = 153,152.70/x
  3. Step 3: Cross multiply
    419,414.48x = 629,392.38 × 153,152.70
  4. Step 4: Simplify right side
    419,414.48x = 96,393,142,356.43
  5. Step 5: Solve for x
    x = 96,393,142,356.43/419,414.48
  6. Step 6: Final answer
    x = 229,827.88

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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.