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Finding the Fourth Proportional to 428,687.82, 642,804.12 and 144,283.46

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Solution

The fourth proportional to 428,687.82, 642,804.12 and 144,283.46 is: 216,348.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,687.82 : 642,804.12 = 144,283.46 : x
  2. Step 2: Convert to fraction form
    428,687.82/642,804.12 = 144,283.46/x
  3. Step 3: Cross multiply
    428,687.82x = 642,804.12 × 144,283.46
  4. Step 4: Simplify right side
    428,687.82x = 92,745,999,321.83
  5. Step 5: Solve for x
    x = 92,745,999,321.83/428,687.82
  6. Step 6: Final answer
    x = 216,348.58

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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.