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Finding the Fourth Proportional to 412,697.30, 619,135.06 and 128,382.44

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Solution

The fourth proportional to 412,697.30, 619,135.06 and 128,382.44 is: 192,601.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,697.30 : 619,135.06 = 128,382.44 : x
  2. Step 2: Convert to fraction form
    412,697.30/619,135.06 = 128,382.44/x
  3. Step 3: Cross multiply
    412,697.30x = 619,135.06 × 128,382.44
  4. Step 4: Simplify right side
    412,697.30x = 79,486,069,692.35
  5. Step 5: Solve for x
    x = 79,486,069,692.35/412,697.30
  6. Step 6: Final answer
    x = 192,601.38

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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.