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Finding the Fourth Proportional to 428,099.66, 642,202.26 and 139,904.49

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Solution

The fourth proportional to 428,099.66, 642,202.26 and 139,904.49 is: 209,873.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,099.66 : 642,202.26 = 139,904.49 : x
  2. Step 2: Convert to fraction form
    428,099.66/642,202.26 = 139,904.49/x
  3. Step 3: Cross multiply
    428,099.66x = 642,202.26 × 139,904.49
  4. Step 4: Simplify right side
    428,099.66x = 89,846,979,739.57
  5. Step 5: Solve for x
    x = 89,846,979,739.57/428,099.66
  6. Step 6: Final answer
    x = 209,873.98

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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.