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Finding the Fourth Proportional to 412,219.40, 617,969.10 and 159,672.20

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Solution

The fourth proportional to 412,219.40, 617,969.10 and 159,672.20 is: 239,368.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,219.40 : 617,969.10 = 159,672.20 : x
  2. Step 2: Convert to fraction form
    412,219.40/617,969.10 = 159,672.20/x
  3. Step 3: Cross multiply
    412,219.40x = 617,969.10 × 159,672.20
  4. Step 4: Simplify right side
    412,219.40x = 98,672,485,729.02
  5. Step 5: Solve for x
    x = 98,672,485,729.02/412,219.40
  6. Step 6: Final answer
    x = 239,368.85

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1.5x scale

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.