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Finding the Fourth Proportional to 428,505.09, 642,751.22 and 104,294.30

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Solution

The fourth proportional to 428,505.09, 642,751.22 and 104,294.30 is: 156,439.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,505.09 : 642,751.22 = 104,294.30 : x
  2. Step 2: Convert to fraction form
    428,505.09/642,751.22 = 104,294.30/x
  3. Step 3: Cross multiply
    428,505.09x = 642,751.22 × 104,294.30
  4. Step 4: Simplify right side
    428,505.09x = 67,035,285,611.03
  5. Step 5: Solve for x
    x = 67,035,285,611.03/428,505.09
  6. Step 6: Final answer
    x = 156,439.88

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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.