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Finding the Fourth Proportional to 547,856.64, 756,027.65 and 306,141.21

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Solution

The fourth proportional to 547,856.64, 756,027.65 and 306,141.21 is: 422,466.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,856.64 : 756,027.65 = 306,141.21 : x
  2. Step 2: Convert to fraction form
    547,856.64/756,027.65 = 306,141.21/x
  3. Step 3: Cross multiply
    547,856.64x = 756,027.65 × 306,141.21
  4. Step 4: Simplify right side
    547,856.64x = 231,451,218,033.75
  5. Step 5: Solve for x
    x = 231,451,218,033.75/547,856.64
  6. Step 6: Final answer
    x = 422,466.76

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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.