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Finding the Fourth Proportional to 428,410.70, 642,616.05 and 251,117.90

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Solution

The fourth proportional to 428,410.70, 642,616.05 and 251,117.90 is: 376,676.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,410.70 : 642,616.05 = 251,117.90 : x
  2. Step 2: Convert to fraction form
    428,410.70/642,616.05 = 251,117.90/x
  3. Step 3: Cross multiply
    428,410.70x = 642,616.05 × 251,117.90
  4. Step 4: Simplify right side
    428,410.70x = 161,372,392,982.30
  5. Step 5: Solve for x
    x = 161,372,392,982.30/428,410.70
  6. Step 6: Final answer
    x = 376,676.85

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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.