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Finding the Fourth Proportional to 428,107.76, 591,185.82 and 320,490.98

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Solution

The fourth proportional to 428,107.76, 591,185.82 and 320,490.98 is: 442,574.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,107.76 : 591,185.82 = 320,490.98 : x
  2. Step 2: Convert to fraction form
    428,107.76/591,185.82 = 320,490.98/x
  3. Step 3: Cross multiply
    428,107.76x = 591,185.82 × 320,490.98
  4. Step 4: Simplify right side
    428,107.76x = 189,469,722,813.90
  5. Step 5: Solve for x
    x = 189,469,722,813.90/428,107.76
  6. Step 6: Final answer
    x = 442,574.84

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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.