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Finding the Fourth Proportional to 409,549.62, 614,282.92 and 109,991.28

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Solution

The fourth proportional to 409,549.62, 614,282.92 and 109,991.28 is: 164,975.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,549.62 : 614,282.92 = 109,991.28 : x
  2. Step 2: Convert to fraction form
    409,549.62/614,282.92 = 109,991.28/x
  3. Step 3: Cross multiply
    409,549.62x = 614,282.92 × 109,991.28
  4. Step 4: Simplify right side
    409,549.62x = 67,565,764,652.94
  5. Step 5: Solve for x
    x = 67,565,764,652.94/409,549.62
  6. Step 6: Final answer
    x = 164,975.77

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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.