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Finding the Fourth Proportional to 276,408.83, 381,253.31 and 169,031.69

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Solution

The fourth proportional to 276,408.83, 381,253.31 and 169,031.69 is: 233,147.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,408.83 : 381,253.31 = 169,031.69 : x
  2. Step 2: Convert to fraction form
    276,408.83/381,253.31 = 169,031.69/x
  3. Step 3: Cross multiply
    276,408.83x = 381,253.31 × 169,031.69
  4. Step 4: Simplify right side
    276,408.83x = 64,443,890,462.24
  5. Step 5: Solve for x
    x = 64,443,890,462.24/276,408.83
  6. Step 6: Final answer
    x = 233,147.00

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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.