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Finding the Fourth Proportional to 431,198.16, 646,797.28 and 165,040.32

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Solution

The fourth proportional to 431,198.16, 646,797.28 and 165,040.32 is: 247,560.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,198.16 : 646,797.28 = 165,040.32 : x
  2. Step 2: Convert to fraction form
    431,198.16/646,797.28 = 165,040.32/x
  3. Step 3: Cross multiply
    431,198.16x = 646,797.28 × 165,040.32
  4. Step 4: Simplify right side
    431,198.16x = 106,747,630,066.33
  5. Step 5: Solve for x
    x = 106,747,630,066.33/431,198.16
  6. Step 6: Final answer
    x = 247,560.50

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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.