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Finding the Fourth Proportional to 428,009.40, 642,028.88 and 203,253.84

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Solution

The fourth proportional to 428,009.40, 642,028.88 and 203,253.84 is: 304,887.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,009.40 : 642,028.88 = 203,253.84 : x
  2. Step 2: Convert to fraction form
    428,009.40/642,028.88 = 203,253.84/x
  3. Step 3: Cross multiply
    428,009.40x = 642,028.88 × 203,253.84
  4. Step 4: Simplify right side
    428,009.40x = 130,494,835,759.03
  5. Step 5: Solve for x
    x = 130,494,835,759.03/428,009.40
  6. Step 6: Final answer
    x = 304,887.78

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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.