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Finding the Fourth Proportional to 513,336, 770,135.24 and 213,717

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Solution

The fourth proportional to 513,336, 770,135.24 and 213,717 is: 320,630.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,336 : 770,135.24 = 213,717 : x
  2. Step 2: Convert to fraction form
    513,336/770,135.24 = 213,717/x
  3. Step 3: Cross multiply
    513,336x = 770,135.24 × 213,717
  4. Step 4: Simplify right side
    513,336x = 164,590,993,087.08
  5. Step 5: Solve for x
    x = 164,590,993,087.08/513,336
  6. Step 6: Final answer
    x = 320,630.14

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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.