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Finding the Fourth Proportional to 305,977.08, 422,401.86 and 191,319.48

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Solution

The fourth proportional to 305,977.08, 422,401.86 and 191,319.48 is: 264,116.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,977.08 : 422,401.86 = 191,319.48 : x
  2. Step 2: Convert to fraction form
    305,977.08/422,401.86 = 191,319.48/x
  3. Step 3: Cross multiply
    305,977.08x = 422,401.86 × 191,319.48
  4. Step 4: Simplify right side
    305,977.08x = 80,813,704,206.23
  5. Step 5: Solve for x
    x = 80,813,704,206.23/305,977.08
  6. Step 6: Final answer
    x = 264,116.86

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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.