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Finding the Fourth Proportional to 510,256.96, 765,634.41 and 320,806.40

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Solution

The fourth proportional to 510,256.96, 765,634.41 and 320,806.40 is: 481,366.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,256.96 : 765,634.41 = 320,806.40 : x
  2. Step 2: Convert to fraction form
    510,256.96/765,634.41 = 320,806.40/x
  3. Step 3: Cross multiply
    510,256.96x = 765,634.41 × 320,806.40
  4. Step 4: Simplify right side
    510,256.96x = 245,620,414,960.05
  5. Step 5: Solve for x
    x = 245,620,414,960.05/510,256.96
  6. Step 6: Final answer
    x = 481,366.13

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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.