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Finding the Fourth Proportional to 414,485.32, 621,728.22 and 165,342.28

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Solution

The fourth proportional to 414,485.32, 621,728.22 and 165,342.28 is: 248,013.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,485.32 : 621,728.22 = 165,342.28 : x
  2. Step 2: Convert to fraction form
    414,485.32/621,728.22 = 165,342.28/x
  3. Step 3: Cross multiply
    414,485.32x = 621,728.22 × 165,342.28
  4. Step 4: Simplify right side
    414,485.32x = 102,797,961,435.14
  5. Step 5: Solve for x
    x = 102,797,961,435.14/414,485.32
  6. Step 6: Final answer
    x = 248,013.52

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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.