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Finding the Fourth Proportional to 261,469.88, 360,829.19 and 145,183.60

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Solution

The fourth proportional to 261,469.88, 360,829.19 and 145,183.60 is: 200,353.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,469.88 : 360,829.19 = 145,183.60 : x
  2. Step 2: Convert to fraction form
    261,469.88/360,829.19 = 145,183.60/x
  3. Step 3: Cross multiply
    261,469.88x = 360,829.19 × 145,183.60
  4. Step 4: Simplify right side
    261,469.88x = 52,386,480,789.28
  5. Step 5: Solve for x
    x = 52,386,480,789.28/261,469.88
  6. Step 6: Final answer
    x = 200,353.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.