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Finding the Fourth Proportional to 409,830.60, 614,745.90 and 275,986.20

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Solution

The fourth proportional to 409,830.60, 614,745.90 and 275,986.20 is: 413,979.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,830.60 : 614,745.90 = 275,986.20 : x
  2. Step 2: Convert to fraction form
    409,830.60/614,745.90 = 275,986.20/x
  3. Step 3: Cross multiply
    409,830.60x = 614,745.90 × 275,986.20
  4. Step 4: Simplify right side
    409,830.60x = 169,661,384,906.58
  5. Step 5: Solve for x
    x = 169,661,384,906.58/409,830.60
  6. Step 6: Final answer
    x = 413,979.30

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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.