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Finding the Fourth Proportional to 510,757.31, 765,869.98 and 190,645.97

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Solution

The fourth proportional to 510,757.31, 765,869.98 and 190,645.97 is: 285,869.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,757.31 : 765,869.98 = 190,645.97 : x
  2. Step 2: Convert to fraction form
    510,757.31/765,869.98 = 190,645.97/x
  3. Step 3: Cross multiply
    510,757.31x = 765,869.98 × 190,645.97
  4. Step 4: Simplify right side
    510,757.31x = 146,010,023,797.03
  5. Step 5: Solve for x
    x = 146,010,023,797.03/510,757.31
  6. Step 6: Final answer
    x = 285,869.67

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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.