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Finding the Fourth Proportional to 392,660,296.64, 541,866,794.16 and 214,040,270.72

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Solution

The fourth proportional to 392,660,296.64, 541,866,794.16 and 214,040,270.72 is: 295,373,166.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,660,296.64 : 541,866,794.16 = 214,040,270.72 : x
  2. Step 2: Convert to fraction form
    392,660,296.64/541,866,794.16 = 214,040,270.72/x
  3. Step 3: Cross multiply
    392,660,296.64x = 541,866,794.16 × 214,040,270.72
  4. Step 4: Simplify right side
    392,660,296.64x = 115,981,315,316,184,912
  5. Step 5: Solve for x
    x = 115,981,315,316,184,912/392,660,296.64
  6. Step 6: Final answer
    x = 295,373,166.85

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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.