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Finding the Fourth Proportional to 303,678, 455,793.26 and 161,642.69

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Solution

The fourth proportional to 303,678, 455,793.26 and 161,642.69 is: 242,611.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,678 : 455,793.26 = 161,642.69 : x
  2. Step 2: Convert to fraction form
    303,678/455,793.26 = 161,642.69/x
  3. Step 3: Cross multiply
    303,678x = 455,793.26 × 161,642.69
  4. Step 4: Simplify right side
    303,678x = 73,675,645,543.09
  5. Step 5: Solve for x
    x = 73,675,645,543.09/303,678
  6. Step 6: Final answer
    x = 242,611.07

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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.