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Finding the Fourth Proportional to 276,042.78, 380,930.22 and 155,189.16

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Solution

The fourth proportional to 276,042.78, 380,930.22 and 155,189.16 is: 214,156.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,042.78 : 380,930.22 = 155,189.16 : x
  2. Step 2: Convert to fraction form
    276,042.78/380,930.22 = 155,189.16/x
  3. Step 3: Cross multiply
    276,042.78x = 380,930.22 × 155,189.16
  4. Step 4: Simplify right side
    276,042.78x = 59,116,240,860.42
  5. Step 5: Solve for x
    x = 59,116,240,860.42/276,042.78
  6. Step 6: Final answer
    x = 214,156.08

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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.