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Finding the Fourth Proportional to 360,202.26, 539,820.42 and 280,336.66

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Solution

The fourth proportional to 360,202.26, 539,820.42 and 280,336.66 is: 420,129.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,202.26 : 539,820.42 = 280,336.66 : x
  2. Step 2: Convert to fraction form
    360,202.26/539,820.42 = 280,336.66/x
  3. Step 3: Cross multiply
    360,202.26x = 539,820.42 × 280,336.66
  4. Step 4: Simplify right side
    360,202.26x = 151,331,453,542.60
  5. Step 5: Solve for x
    x = 151,331,453,542.60/360,202.26
  6. Step 6: Final answer
    x = 420,129.11

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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.