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Finding the Fourth Proportional to 276,051.30, 380,941.92 and 155,197.66

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Solution

The fourth proportional to 276,051.30, 380,941.92 and 155,197.66 is: 214,167.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,051.30 : 380,941.92 = 155,197.66 : x
  2. Step 2: Convert to fraction form
    276,051.30/380,941.92 = 155,197.66/x
  3. Step 3: Cross multiply
    276,051.30x = 380,941.92 × 155,197.66
  4. Step 4: Simplify right side
    276,051.30x = 59,121,294,579.91
  5. Step 5: Solve for x
    x = 59,121,294,579.91/276,051.30
  6. Step 6: Final answer
    x = 214,167.78

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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.