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Finding the Fourth Proportional to 394,706.61, 544,695.09 and 213,418.49

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Solution

The fourth proportional to 394,706.61, 544,695.09 and 213,418.49 is: 294,517.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,706.61 : 544,695.09 = 213,418.49 : x
  2. Step 2: Convert to fraction form
    394,706.61/544,695.09 = 213,418.49/x
  3. Step 3: Cross multiply
    394,706.61x = 544,695.09 × 213,418.49
  4. Step 4: Simplify right side
    394,706.61x = 116,248,000,894.74
  5. Step 5: Solve for x
    x = 116,248,000,894.74/394,706.61
  6. Step 6: Final answer
    x = 294,517.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.