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Finding the Fourth Proportional to 510,872.40, 766,389.60 and 173,944.80

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Solution

The fourth proportional to 510,872.40, 766,389.60 and 173,944.80 is: 260,944.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,872.40 : 766,389.60 = 173,944.80 : x
  2. Step 2: Convert to fraction form
    510,872.40/766,389.60 = 173,944.80/x
  3. Step 3: Cross multiply
    510,872.40x = 766,389.60 × 173,944.80
  4. Step 4: Simplify right side
    510,872.40x = 133,309,485,694.08
  5. Step 5: Solve for x
    x = 133,309,485,694.08/510,872.40
  6. Step 6: Final answer
    x = 260,944.78

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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.