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Finding the Fourth Proportional to 414,418.47, 621,627.96 and 130,107.77

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Solution

The fourth proportional to 414,418.47, 621,627.96 and 130,107.77 is: 195,161.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,418.47 : 621,627.96 = 130,107.77 : x
  2. Step 2: Convert to fraction form
    414,418.47/621,627.96 = 130,107.77/x
  3. Step 3: Cross multiply
    414,418.47x = 621,627.96 × 130,107.77
  4. Step 4: Simplify right side
    414,418.47x = 80,878,629,754.99
  5. Step 5: Solve for x
    x = 80,878,629,754.99/414,418.47
  6. Step 6: Final answer
    x = 195,161.74

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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.