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Finding the Fourth Proportional to 409,551.64, 614,285.92 and 109,993.28

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Solution

The fourth proportional to 409,551.64, 614,285.92 and 109,993.28 is: 164,978.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,551.64 : 614,285.92 = 109,993.28 : x
  2. Step 2: Convert to fraction form
    409,551.64/614,285.92 = 109,993.28/x
  3. Step 3: Cross multiply
    409,551.64x = 614,285.92 × 109,993.28
  4. Step 4: Simplify right side
    409,551.64x = 67,567,323,198.62
  5. Step 5: Solve for x
    x = 67,567,323,198.62/409,551.64
  6. Step 6: Final answer
    x = 164,978.76

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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.