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Finding the Fourth Proportional to 561,103.48, 774,321.52 and 306,454.68

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Solution

The fourth proportional to 561,103.48, 774,321.52 and 306,454.68 is: 422,906.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,103.48 : 774,321.52 = 306,454.68 : x
  2. Step 2: Convert to fraction form
    561,103.48/774,321.52 = 306,454.68/x
  3. Step 3: Cross multiply
    561,103.48x = 774,321.52 × 306,454.68
  4. Step 4: Simplify right side
    561,103.48x = 237,294,453,628.71
  5. Step 5: Solve for x
    x = 237,294,453,628.71/561,103.48
  6. Step 6: Final answer
    x = 422,906.76

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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.