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Finding the Fourth Proportional to 510,818.70, 766,271.97 and 131,736

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Solution

The fourth proportional to 510,818.70, 766,271.97 and 131,736 is: 197,615.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,818.70 : 766,271.97 = 131,736 : x
  2. Step 2: Convert to fraction form
    510,818.70/766,271.97 = 131,736/x
  3. Step 3: Cross multiply
    510,818.70x = 766,271.97 × 131,736
  4. Step 4: Simplify right side
    510,818.70x = 100,945,604,239.92
  5. Step 5: Solve for x
    x = 100,945,604,239.92/510,818.70
  6. Step 6: Final answer
    x = 197,615.33

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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.