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Finding the Fourth Proportional to 546,997.28, 754,856.94 and 305,279.84

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Solution

The fourth proportional to 546,997.28, 754,856.94 and 305,279.84 is: 421,286.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,997.28 : 754,856.94 = 305,279.84 : x
  2. Step 2: Convert to fraction form
    546,997.28/754,856.94 = 305,279.84/x
  3. Step 3: Cross multiply
    546,997.28x = 754,856.94 × 305,279.84
  4. Step 4: Simplify right side
    546,997.28x = 230,442,605,866.09
  5. Step 5: Solve for x
    x = 230,442,605,866.09/546,997.28
  6. Step 6: Final answer
    x = 421,286.57

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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.