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Finding the Fourth Proportional to 510,399.90, 765,891.45 and 195,083.10

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Solution

The fourth proportional to 510,399.90, 765,891.45 and 195,083.10 is: 292,736.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,399.90 : 765,891.45 = 195,083.10 : x
  2. Step 2: Convert to fraction form
    510,399.90/765,891.45 = 195,083.10/x
  3. Step 3: Cross multiply
    510,399.90x = 765,891.45 × 195,083.10
  4. Step 4: Simplify right side
    510,399.90x = 149,412,478,329.50
  5. Step 5: Solve for x
    x = 149,412,478,329.50/510,399.90
  6. Step 6: Final answer
    x = 292,736.10

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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.