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Finding the Fourth Proportional to 408,165.20, 612,087.60 and 155,311.40

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Solution

The fourth proportional to 408,165.20, 612,087.60 and 155,311.40 is: 232,906.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,165.20 : 612,087.60 = 155,311.40 : x
  2. Step 2: Convert to fraction form
    408,165.20/612,087.60 = 155,311.40/x
  3. Step 3: Cross multiply
    408,165.20x = 612,087.60 × 155,311.40
  4. Step 4: Simplify right side
    408,165.20x = 95,064,182,078.64
  5. Step 5: Solve for x
    x = 95,064,182,078.64/408,165.20
  6. Step 6: Final answer
    x = 232,906.14

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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.