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Finding the Fourth Proportional to 512,697.91, 768,547 and 204,858.15

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Solution

The fourth proportional to 512,697.91, 768,547 and 204,858.15 is: 307,087.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,697.91 : 768,547 = 204,858.15 : x
  2. Step 2: Convert to fraction form
    512,697.91/768,547 = 204,858.15/x
  3. Step 3: Cross multiply
    512,697.91x = 768,547 × 204,858.15
  4. Step 4: Simplify right side
    512,697.91x = 157,443,116,608.05
  5. Step 5: Solve for x
    x = 157,443,116,608.05/512,697.91
  6. Step 6: Final answer
    x = 307,087.49

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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.