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Finding the Fourth Proportional to 510,315.10, 765,144.60 and 210,914.80

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Solution

The fourth proportional to 510,315.10, 765,144.60 and 210,914.80 is: 316,236.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,315.10 : 765,144.60 = 210,914.80 : x
  2. Step 2: Convert to fraction form
    510,315.10/765,144.60 = 210,914.80/x
  3. Step 3: Cross multiply
    510,315.10x = 765,144.60 × 210,914.80
  4. Step 4: Simplify right side
    510,315.10x = 161,380,320,280.08
  5. Step 5: Solve for x
    x = 161,380,320,280.08/510,315.10
  6. Step 6: Final answer
    x = 316,236.62

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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.