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Finding the Fourth Proportional to 667,470.42, 999,456.03 and 457,518.42

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Solution

The fourth proportional to 667,470.42, 999,456.03 and 457,518.42 is: 685,078.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    667,470.42 : 999,456.03 = 457,518.42 : x
  2. Step 2: Convert to fraction form
    667,470.42/999,456.03 = 457,518.42/x
  3. Step 3: Cross multiply
    667,470.42x = 999,456.03 × 457,518.42
  4. Step 4: Simplify right side
    667,470.42x = 457,269,543,705.07
  5. Step 5: Solve for x
    x = 457,269,543,705.07/667,470.42
  6. Step 6: Final answer
    x = 685,078.36

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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.