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Finding the Fourth Proportional to 412,014.80, 617,964.60 and 131,560.40

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Solution

The fourth proportional to 412,014.80, 617,964.60 and 131,560.40 is: 197,322.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,014.80 : 617,964.60 = 131,560.40 : x
  2. Step 2: Convert to fraction form
    412,014.80/617,964.60 = 131,560.40/x
  3. Step 3: Cross multiply
    412,014.80x = 617,964.60 × 131,560.40
  4. Step 4: Simplify right side
    412,014.80x = 81,299,669,961.84
  5. Step 5: Solve for x
    x = 81,299,669,961.84/412,014.80
  6. Step 6: Final answer
    x = 197,322.21

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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.