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Finding the Fourth Proportional to 510,306.48, 765,631.81 and 225,958.21

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Solution

The fourth proportional to 510,306.48, 765,631.81 and 225,958.21 is: 339,013.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,306.48 : 765,631.81 = 225,958.21 : x
  2. Step 2: Convert to fraction form
    510,306.48/765,631.81 = 225,958.21/x
  3. Step 3: Cross multiply
    510,306.48x = 765,631.81 × 225,958.21
  4. Step 4: Simplify right side
    510,306.48x = 173,000,791,675.03
  5. Step 5: Solve for x
    x = 173,000,791,675.03/510,306.48
  6. Step 6: Final answer
    x = 339,013.51

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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.