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Finding the Fourth Proportional to 439,769, 659,620.38 and 140,237.48

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Solution

The fourth proportional to 439,769, 659,620.38 and 140,237.48 is: 210,345.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    439,769 : 659,620.38 = 140,237.48 : x
  2. Step 2: Convert to fraction form
    439,769/659,620.38 = 140,237.48/x
  3. Step 3: Cross multiply
    439,769x = 659,620.38 × 140,237.48
  4. Step 4: Simplify right side
    439,769x = 92,503,499,847.84
  5. Step 5: Solve for x
    x = 92,503,499,847.84/439,769
  6. Step 6: Final answer
    x = 210,345.66

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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.