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Finding the Fourth Proportional to 428,768.70, 642,945.33 and 129,193.44

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Solution

The fourth proportional to 428,768.70, 642,945.33 and 129,193.44 is: 193,727.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,768.70 : 642,945.33 = 129,193.44 : x
  2. Step 2: Convert to fraction form
    428,768.70/642,945.33 = 129,193.44/x
  3. Step 3: Cross multiply
    428,768.70x = 642,945.33 × 129,193.44
  4. Step 4: Simplify right side
    428,768.70x = 83,064,318,914.64
  5. Step 5: Solve for x
    x = 83,064,318,914.64/428,768.70
  6. Step 6: Final answer
    x = 193,727.57

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1.5x scale

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.