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Finding the Fourth Proportional to 411,989.20, 619,020.60 and 262,301.20

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Solution

The fourth proportional to 411,989.20, 619,020.60 and 262,301.20 is: 394,111.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,989.20 : 619,020.60 = 262,301.20 : x
  2. Step 2: Convert to fraction form
    411,989.20/619,020.60 = 262,301.20/x
  3. Step 3: Cross multiply
    411,989.20x = 619,020.60 × 262,301.20
  4. Step 4: Simplify right side
    411,989.20x = 162,369,846,204.72
  5. Step 5: Solve for x
    x = 162,369,846,204.72/411,989.20
  6. Step 6: Final answer
    x = 394,111.90

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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.