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Finding the Fourth Proportional to 510,838.40, 766,338.60 and 173,910.80

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Solution

The fourth proportional to 510,838.40, 766,338.60 and 173,910.80 is: 260,893.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,838.40 : 766,338.60 = 173,910.80 : x
  2. Step 2: Convert to fraction form
    510,838.40/766,338.60 = 173,910.80/x
  3. Step 3: Cross multiply
    510,838.40x = 766,338.60 × 173,910.80
  4. Step 4: Simplify right side
    510,838.40x = 133,274,558,996.88
  5. Step 5: Solve for x
    x = 133,274,558,996.88/510,838.40
  6. Step 6: Final answer
    x = 260,893.78

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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.