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Finding the Fourth Proportional to 310,819.67, 428,930.50 and 174,853.71

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Solution

The fourth proportional to 310,819.67, 428,930.50 and 174,853.71 is: 241,297.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,819.67 : 428,930.50 = 174,853.71 : x
  2. Step 2: Convert to fraction form
    310,819.67/428,930.50 = 174,853.71/x
  3. Step 3: Cross multiply
    310,819.67x = 428,930.50 × 174,853.71
  4. Step 4: Simplify right side
    310,819.67x = 75,000,089,257.16
  5. Step 5: Solve for x
    x = 75,000,089,257.16/310,819.67
  6. Step 6: Final answer
    x = 241,297.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.