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Finding the Fourth Proportional to 392,964.41, 542,290.89 and 214,116.41

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Solution

The fourth proportional to 392,964.41, 542,290.89 and 214,116.41 is: 295,480.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,964.41 : 542,290.89 = 214,116.41 : x
  2. Step 2: Convert to fraction form
    392,964.41/542,290.89 = 214,116.41/x
  3. Step 3: Cross multiply
    392,964.41x = 542,290.89 × 214,116.41
  4. Step 4: Simplify right side
    392,964.41x = 116,113,376,651.49
  5. Step 5: Solve for x
    x = 116,113,376,651.49/392,964.41
  6. Step 6: Final answer
    x = 295,480.65

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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.