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Finding the Fourth Proportional to 428,529.44, 642,534.88 and 191,828

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Solution

The fourth proportional to 428,529.44, 642,534.88 and 191,828 is: 287,625.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,529.44 : 642,534.88 = 191,828 : x
  2. Step 2: Convert to fraction form
    428,529.44/642,534.88 = 191,828/x
  3. Step 3: Cross multiply
    428,529.44x = 642,534.88 × 191,828
  4. Step 4: Simplify right side
    428,529.44x = 123,256,180,960.64
  5. Step 5: Solve for x
    x = 123,256,180,960.64/428,529.44
  6. Step 6: Final answer
    x = 287,625.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.