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Finding the Fourth Proportional to 392,121.81, 540,695.85 and 271,052.91

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Solution

The fourth proportional to 392,121.81, 540,695.85 and 271,052.91 is: 373,754.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,121.81 : 540,695.85 = 271,052.91 : x
  2. Step 2: Convert to fraction form
    392,121.81/540,695.85 = 271,052.91/x
  3. Step 3: Cross multiply
    392,121.81x = 540,695.85 × 271,052.91
  4. Step 4: Simplify right side
    392,121.81x = 146,557,183,567.42
  5. Step 5: Solve for x
    x = 146,557,183,567.42/392,121.81
  6. Step 6: Final answer
    x = 373,754.23

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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.