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Finding the Fourth Proportional to 367,131.60, 550,438.20 and 142,405.20

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Solution

The fourth proportional to 367,131.60, 550,438.20 and 142,405.20 is: 213,507.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,131.60 : 550,438.20 = 142,405.20 : x
  2. Step 2: Convert to fraction form
    367,131.60/550,438.20 = 142,405.20/x
  3. Step 3: Cross multiply
    367,131.60x = 550,438.20 × 142,405.20
  4. Step 4: Simplify right side
    367,131.60x = 78,385,261,958.64
  5. Step 5: Solve for x
    x = 78,385,261,958.64/367,131.60
  6. Step 6: Final answer
    x = 213,507.26

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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.