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Finding the Fourth Proportional to 428,019.84, 641,796.48 and 178,513.92

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Solution

The fourth proportional to 428,019.84, 641,796.48 and 178,513.92 is: 267,673.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,019.84 : 641,796.48 = 178,513.92 : x
  2. Step 2: Convert to fraction form
    428,019.84/641,796.48 = 178,513.92/x
  3. Step 3: Cross multiply
    428,019.84x = 641,796.48 × 178,513.92
  4. Step 4: Simplify right side
    428,019.84x = 114,569,605,487.00
  5. Step 5: Solve for x
    x = 114,569,605,487.00/428,019.84
  6. Step 6: Final answer
    x = 267,673.59

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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.