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Finding the Fourth Proportional to 276,935.34, 415,406.34 and 77,243.58

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Solution

The fourth proportional to 276,935.34, 415,406.34 and 77,243.58 is: 115,866.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,935.34 : 415,406.34 = 77,243.58 : x
  2. Step 2: Convert to fraction form
    276,935.34/415,406.34 = 77,243.58/x
  3. Step 3: Cross multiply
    276,935.34x = 415,406.34 × 77,243.58
  4. Step 4: Simplify right side
    276,935.34x = 32,087,472,856.30
  5. Step 5: Solve for x
    x = 32,087,472,856.30/276,935.34
  6. Step 6: Final answer
    x = 115,866.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.