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Finding the Fourth Proportional to 419,423.52, 629,405.82 and 153,161.76

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Solution

The fourth proportional to 419,423.52, 629,405.82 and 153,161.76 is: 229,841.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,423.52 : 629,405.82 = 153,161.76 : x
  2. Step 2: Convert to fraction form
    419,423.52/629,405.82 = 153,161.76/x
  3. Step 3: Cross multiply
    419,423.52x = 629,405.82 × 153,161.76
  4. Step 4: Simplify right side
    419,423.52x = 96,400,903,145.44
  5. Step 5: Solve for x
    x = 96,400,903,145.44/419,423.52
  6. Step 6: Final answer
    x = 229,841.43

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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.