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Finding the Fourth Proportional to 430,644.60, 646,104.60 and 131,182.20

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Solution

The fourth proportional to 430,644.60, 646,104.60 and 131,182.20 is: 196,815.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,644.60 : 646,104.60 = 131,182.20 : x
  2. Step 2: Convert to fraction form
    430,644.60/646,104.60 = 131,182.20/x
  3. Step 3: Cross multiply
    430,644.60x = 646,104.60 × 131,182.20
  4. Step 4: Simplify right side
    430,644.60x = 84,757,422,858.12
  5. Step 5: Solve for x
    x = 84,757,422,858.12/430,644.60
  6. Step 6: Final answer
    x = 196,815.25

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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.