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Finding the Fourth Proportional to 428,081.80, 641,661.90 and 161,739.40

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Solution

The fourth proportional to 428,081.80, 641,661.90 and 161,739.40 is: 242,435.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,081.80 : 641,661.90 = 161,739.40 : x
  2. Step 2: Convert to fraction form
    428,081.80/641,661.90 = 161,739.40/x
  3. Step 3: Cross multiply
    428,081.80x = 641,661.90 × 161,739.40
  4. Step 4: Simplify right side
    428,081.80x = 103,782,010,708.86
  5. Step 5: Solve for x
    x = 103,782,010,708.86/428,081.80
  6. Step 6: Final answer
    x = 242,435.00

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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.