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Finding the Fourth Proportional to 409,411.98, 614,033.24 and 109,821.32

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Solution

The fourth proportional to 409,411.98, 614,033.24 and 109,821.32 is: 164,709.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,411.98 : 614,033.24 = 109,821.32 : x
  2. Step 2: Convert to fraction form
    409,411.98/614,033.24 = 109,821.32/x
  3. Step 3: Cross multiply
    409,411.98x = 614,033.24 × 109,821.32
  4. Step 4: Simplify right side
    409,411.98x = 67,433,940,940.68
  5. Step 5: Solve for x
    x = 67,433,940,940.68/409,411.98
  6. Step 6: Final answer
    x = 164,709.25

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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.