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Finding the Fourth Proportional to 428,313.48, 642,018.12 and 143,734.22

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Solution

The fourth proportional to 428,313.48, 642,018.12 and 143,734.22 is: 215,449.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,313.48 : 642,018.12 = 143,734.22 : x
  2. Step 2: Convert to fraction form
    428,313.48/642,018.12 = 143,734.22/x
  3. Step 3: Cross multiply
    428,313.48x = 642,018.12 × 143,734.22
  4. Step 4: Simplify right side
    428,313.48x = 92,279,970,493.98
  5. Step 5: Solve for x
    x = 92,279,970,493.98/428,313.48
  6. Step 6: Final answer
    x = 215,449.61

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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.