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Finding the Fourth Proportional to 428,638.86, 642,958.26 and 148,003.02

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Solution

The fourth proportional to 428,638.86, 642,958.26 and 148,003.02 is: 222,004.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,638.86 : 642,958.26 = 148,003.02 : x
  2. Step 2: Convert to fraction form
    428,638.86/642,958.26 = 148,003.02/x
  3. Step 3: Cross multiply
    428,638.86x = 642,958.26 × 148,003.02
  4. Step 4: Simplify right side
    428,638.86x = 95,159,764,213.95
  5. Step 5: Solve for x
    x = 95,159,764,213.95/428,638.86
  6. Step 6: Final answer
    x = 222,004.52

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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.