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Finding the Fourth Proportional to 300,195.05, 450,292.64 and 142,337.39

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Solution

The fourth proportional to 300,195.05, 450,292.64 and 142,337.39 is: 213,506.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,195.05 : 450,292.64 = 142,337.39 : x
  2. Step 2: Convert to fraction form
    300,195.05/450,292.64 = 142,337.39/x
  3. Step 3: Cross multiply
    300,195.05x = 450,292.64 × 142,337.39
  4. Step 4: Simplify right side
    300,195.05x = 64,093,476,150.66
  5. Step 5: Solve for x
    x = 64,093,476,150.66/300,195.05
  6. Step 6: Final answer
    x = 213,506.11

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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.