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Finding the Fourth Proportional to 513,395, 770,403.58 and 217,907

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Solution

The fourth proportional to 513,395, 770,403.58 and 217,907 is: 326,992.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,395 : 770,403.58 = 217,907 : x
  2. Step 2: Convert to fraction form
    513,395/770,403.58 = 217,907/x
  3. Step 3: Cross multiply
    513,395x = 770,403.58 × 217,907
  4. Step 4: Simplify right side
    513,395x = 167,876,332,907.06
  5. Step 5: Solve for x
    x = 167,876,332,907.06/513,395
  6. Step 6: Final answer
    x = 326,992.54

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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.