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Finding the Fourth Proportional to 276,536.48, 414,805.01 and 76,856.90

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Solution

The fourth proportional to 276,536.48, 414,805.01 and 76,856.90 is: 115,285.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,536.48 : 414,805.01 = 76,856.90 : x
  2. Step 2: Convert to fraction form
    276,536.48/414,805.01 = 76,856.90/x
  3. Step 3: Cross multiply
    276,536.48x = 414,805.01 × 76,856.90
  4. Step 4: Simplify right side
    276,536.48x = 31,880,624,714.76
  5. Step 5: Solve for x
    x = 31,880,624,714.76/276,536.48
  6. Step 6: Final answer
    x = 115,285.42

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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.