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Finding the Fourth Proportional to 445,434, 668,189.94 and 113,010

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Solution

The fourth proportional to 445,434, 668,189.94 and 113,010 is: 169,524.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,434 : 668,189.94 = 113,010 : x
  2. Step 2: Convert to fraction form
    445,434/668,189.94 = 113,010/x
  3. Step 3: Cross multiply
    445,434x = 668,189.94 × 113,010
  4. Step 4: Simplify right side
    445,434x = 75,512,145,119.40
  5. Step 5: Solve for x
    x = 75,512,145,119.40/445,434
  6. Step 6: Final answer
    x = 169,524.88

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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.