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Finding the Fourth Proportional to 392,968.40, 542,296.40 and 214,120.40

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Solution

The fourth proportional to 392,968.40, 542,296.40 and 214,120.40 is: 295,486.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,968.40 : 542,296.40 = 214,120.40 : x
  2. Step 2: Convert to fraction form
    392,968.40/542,296.40 = 214,120.40/x
  3. Step 3: Cross multiply
    392,968.40x = 542,296.40 × 214,120.40
  4. Step 4: Simplify right side
    392,968.40x = 116,116,718,304.48
  5. Step 5: Solve for x
    x = 116,116,718,304.48/392,968.40
  6. Step 6: Final answer
    x = 295,486.15

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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.