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Finding the Fourth Proportional to 702,469,792.65, 969,407,556.54 and 384,937,781.16

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Solution

The fourth proportional to 702,469,792.65, 969,407,556.54 and 384,937,781.16 is: 531,213,723.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,469,792.65 : 969,407,556.54 = 384,937,781.16 : x
  2. Step 2: Convert to fraction form
    702,469,792.65/969,407,556.54 = 384,937,781.16/x
  3. Step 3: Cross multiply
    702,469,792.65x = 969,407,556.54 × 384,937,781.16
  4. Step 4: Simplify right side
    702,469,792.65x = 373,161,593,854,244,864
  5. Step 5: Solve for x
    x = 373,161,593,854,244,864/702,469,792.65
  6. Step 6: Final answer
    x = 531,213,723.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.