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Finding the Fourth Proportional to 513,396.33, 768,518.05 and 322,965.06

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Solution

The fourth proportional to 513,396.33, 768,518.05 and 322,965.06 is: 483,455.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,396.33 : 768,518.05 = 322,965.06 : x
  2. Step 2: Convert to fraction form
    513,396.33/768,518.05 = 322,965.06/x
  3. Step 3: Cross multiply
    513,396.33x = 768,518.05 × 322,965.06
  4. Step 4: Simplify right side
    513,396.33x = 248,204,478,129.33
  5. Step 5: Solve for x
    x = 248,204,478,129.33/513,396.33
  6. Step 6: Final answer
    x = 483,455.89

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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.