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Finding the Fourth Proportional to 276,890.72, 415,336.08 and 77,203.04

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Solution

The fourth proportional to 276,890.72, 415,336.08 and 77,203.04 is: 115,804.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,890.72 : 415,336.08 = 77,203.04 : x
  2. Step 2: Convert to fraction form
    276,890.72/415,336.08 = 77,203.04/x
  3. Step 3: Cross multiply
    276,890.72x = 415,336.08 × 77,203.04
  4. Step 4: Simplify right side
    276,890.72x = 32,065,207,997.68
  5. Step 5: Solve for x
    x = 32,065,207,997.68/276,890.72
  6. Step 6: Final answer
    x = 115,804.56

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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.