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Finding the Fourth Proportional to 367,083.80, 550,461.67 and 142,369.55

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Solution

The fourth proportional to 367,083.80, 550,461.67 and 142,369.55 is: 213,490.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,083.80 : 550,461.67 = 142,369.55 : x
  2. Step 2: Convert to fraction form
    367,083.80/550,461.67 = 142,369.55/x
  3. Step 3: Cross multiply
    367,083.80x = 550,461.67 × 142,369.55
  4. Step 4: Simplify right side
    367,083.80x = 78,368,980,250.15
  5. Step 5: Solve for x
    x = 78,368,980,250.15/367,083.80
  6. Step 6: Final answer
    x = 213,490.71

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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.