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Finding the Fourth Proportional to 428,289.80, 642,073.44 and 270,169.70

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Solution

The fourth proportional to 428,289.80, 642,073.44 and 270,169.70 is: 405,026.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,289.80 : 642,073.44 = 270,169.70 : x
  2. Step 2: Convert to fraction form
    428,289.80/642,073.44 = 270,169.70/x
  3. Step 3: Cross multiply
    428,289.80x = 642,073.44 × 270,169.70
  4. Step 4: Simplify right side
    428,289.80x = 173,468,788,662.77
  5. Step 5: Solve for x
    x = 173,468,788,662.77/428,289.80
  6. Step 6: Final answer
    x = 405,026.66

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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.