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Finding the Fourth Proportional to 428,663.58, 642,995.37 and 148,027.74

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Solution

The fourth proportional to 428,663.58, 642,995.37 and 148,027.74 is: 222,041.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,663.58 : 642,995.37 = 148,027.74 : x
  2. Step 2: Convert to fraction form
    428,663.58/642,995.37 = 148,027.74/x
  3. Step 3: Cross multiply
    428,663.58x = 642,995.37 × 148,027.74
  4. Step 4: Simplify right side
    428,663.58x = 95,181,151,451.56
  5. Step 5: Solve for x
    x = 95,181,151,451.56/428,663.58
  6. Step 6: Final answer
    x = 222,041.61

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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.