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Finding the Fourth Proportional to 392,964.91, 542,291.57 and 214,116.91

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Solution

The fourth proportional to 392,964.91, 542,291.57 and 214,116.91 is: 295,481.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,964.91 : 542,291.57 = 214,116.91 : x
  2. Step 2: Convert to fraction form
    392,964.91/542,291.57 = 214,116.91/x
  3. Step 3: Cross multiply
    392,964.91x = 542,291.57 × 214,116.91
  4. Step 4: Simplify right side
    392,964.91x = 116,113,795,287.45
  5. Step 5: Solve for x
    x = 116,113,795,287.45/392,964.91
  6. Step 6: Final answer
    x = 295,481.33

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1.5x scale

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.