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Finding the Fourth Proportional to 367,048.80, 550,409.18 and 142,334.55

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Solution

The fourth proportional to 367,048.80, 550,409.18 and 142,334.55 is: 213,438.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,048.80 : 550,409.18 = 142,334.55 : x
  2. Step 2: Convert to fraction form
    367,048.80/550,409.18 = 142,334.55/x
  3. Step 3: Cross multiply
    367,048.80x = 550,409.18 × 142,334.55
  4. Step 4: Simplify right side
    367,048.80x = 78,342,242,239.50
  5. Step 5: Solve for x
    x = 78,342,242,239.50/367,048.80
  6. Step 6: Final answer
    x = 213,438.22

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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.