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Finding the Fourth Proportional to 510,843.44, 765,084.18 and 493,128.74

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Solution

The fourth proportional to 510,843.44, 765,084.18 and 493,128.74 is: 738,553.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,843.44 : 765,084.18 = 493,128.74 : x
  2. Step 2: Convert to fraction form
    510,843.44/765,084.18 = 493,128.74/x
  3. Step 3: Cross multiply
    510,843.44x = 765,084.18 × 493,128.74
  4. Step 4: Simplify right side
    510,843.44x = 377,284,997,677.33
  5. Step 5: Solve for x
    x = 377,284,997,677.33/510,843.44
  6. Step 6: Final answer
    x = 738,553.08

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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.