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Finding the Fourth Proportional to 411,381.20, 618,108.60 and 261,693.20

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Solution

The fourth proportional to 411,381.20, 618,108.60 and 261,693.20 is: 393,199.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,381.20 : 618,108.60 = 261,693.20 : x
  2. Step 2: Convert to fraction form
    411,381.20/618,108.60 = 261,693.20/x
  3. Step 3: Cross multiply
    411,381.20x = 618,108.60 × 261,693.20
  4. Step 4: Simplify right side
    411,381.20x = 161,754,817,481.52
  5. Step 5: Solve for x
    x = 161,754,817,481.52/411,381.20
  6. Step 6: Final answer
    x = 393,199.34

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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.