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Finding the Fourth Proportional to 412,537.02, 618,806.10 and 113,020.20

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Solution

The fourth proportional to 412,537.02, 618,806.10 and 113,020.20 is: 169,530.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,537.02 : 618,806.10 = 113,020.20 : x
  2. Step 2: Convert to fraction form
    412,537.02/618,806.10 = 113,020.20/x
  3. Step 3: Cross multiply
    412,537.02x = 618,806.10 × 113,020.20
  4. Step 4: Simplify right side
    412,537.02x = 69,937,589,183.22
  5. Step 5: Solve for x
    x = 69,937,589,183.22/412,537.02
  6. Step 6: Final answer
    x = 169,530.46

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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.