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Finding the Fourth Proportional to 409,425, 614,052.81 and 109,834.56

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Solution

The fourth proportional to 409,425, 614,052.81 and 109,834.56 is: 164,729.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,425 : 614,052.81 = 109,834.56 : x
  2. Step 2: Convert to fraction form
    409,425/614,052.81 = 109,834.56/x
  3. Step 3: Cross multiply
    409,425x = 614,052.81 × 109,834.56
  4. Step 4: Simplify right side
    409,425x = 67,444,220,203.11
  5. Step 5: Solve for x
    x = 67,444,220,203.11/409,425
  6. Step 6: Final answer
    x = 164,729.12

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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.