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Finding the Fourth Proportional to 510,452.84, 765,731.64 and 195,174.92

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Solution

The fourth proportional to 510,452.84, 765,731.64 and 195,174.92 is: 292,782.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,452.84 : 765,731.64 = 195,174.92 : x
  2. Step 2: Convert to fraction form
    510,452.84/765,731.64 = 195,174.92/x
  3. Step 3: Cross multiply
    510,452.84x = 765,731.64 × 195,174.92
  4. Step 4: Simplify right side
    510,452.84x = 149,451,611,578.47
  5. Step 5: Solve for x
    x = 149,451,611,578.47/510,452.84
  6. Step 6: Final answer
    x = 292,782.41

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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.