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Finding the Fourth Proportional to 392,964.16, 542,290.54 and 214,116.16

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Solution

The fourth proportional to 392,964.16, 542,290.54 and 214,116.16 is: 295,480.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,964.16 : 542,290.54 = 214,116.16 : x
  2. Step 2: Convert to fraction form
    392,964.16/542,290.54 = 214,116.16/x
  3. Step 3: Cross multiply
    392,964.16x = 542,290.54 × 214,116.16
  4. Step 4: Simplify right side
    392,964.16x = 116,113,167,208.69
  5. Step 5: Solve for x
    x = 116,113,167,208.69/392,964.16
  6. Step 6: Final answer
    x = 295,480.30

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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.