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Finding the Fourth Proportional to 512,506.74, 768,502.04 and 170,829.17

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Solution

The fourth proportional to 512,506.74, 768,502.04 and 170,829.17 is: 256,157.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,506.74 : 768,502.04 = 170,829.17 : x
  2. Step 2: Convert to fraction form
    512,506.74/768,502.04 = 170,829.17/x
  3. Step 3: Cross multiply
    512,506.74x = 768,502.04 × 170,829.17
  4. Step 4: Simplify right side
    512,506.74x = 131,282,560,939.85
  5. Step 5: Solve for x
    x = 131,282,560,939.85/512,506.74
  6. Step 6: Final answer
    x = 256,157.73

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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.