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Finding the Fourth Proportional to 512,498.49, 768,489.66 and 170,820.92

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Solution

The fourth proportional to 512,498.49, 768,489.66 and 170,820.92 is: 256,145.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,498.49 : 768,489.66 = 170,820.92 : x
  2. Step 2: Convert to fraction form
    512,498.49/768,489.66 = 170,820.92/x
  3. Step 3: Cross multiply
    512,498.49x = 768,489.66 × 170,820.92
  4. Step 4: Simplify right side
    512,498.49x = 131,274,106,889.24
  5. Step 5: Solve for x
    x = 131,274,106,889.24/512,498.49
  6. Step 6: Final answer
    x = 256,145.35

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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.