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Finding the Fourth Proportional to 367,065.05, 550,433.55 and 142,350.80

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Solution

The fourth proportional to 367,065.05, 550,433.55 and 142,350.80 is: 213,462.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,065.05 : 550,433.55 = 142,350.80 : x
  2. Step 2: Convert to fraction form
    367,065.05/550,433.55 = 142,350.80/x
  3. Step 3: Cross multiply
    367,065.05x = 550,433.55 × 142,350.80
  4. Step 4: Simplify right side
    367,065.05x = 78,354,656,189.34
  5. Step 5: Solve for x
    x = 78,354,656,189.34/367,065.05
  6. Step 6: Final answer
    x = 213,462.59

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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.