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Finding the Fourth Proportional to 388,612,792.48, 582,560,467.44 and 194,355,168.16

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Solution

The fourth proportional to 388,612,792.48, 582,560,467.44 and 194,355,168.16 is: 291,353,346.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,612,792.48 : 582,560,467.44 = 194,355,168.16 : x
  2. Step 2: Convert to fraction form
    388,612,792.48/582,560,467.44 = 194,355,168.16/x
  3. Step 3: Cross multiply
    388,612,792.48x = 582,560,467.44 × 194,355,168.16
  4. Step 4: Simplify right side
    388,612,792.48x = 113,223,637,612,669,408
  5. Step 5: Solve for x
    x = 113,223,637,612,669,408/388,612,792.48
  6. Step 6: Final answer
    x = 291,353,346.58

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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.