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Finding the Fourth Proportional to 309,247.60, 463,914.60 and 131,753.20

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Solution

The fourth proportional to 309,247.60, 463,914.60 and 131,753.20 is: 197,648.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,247.60 : 463,914.60 = 131,753.20 : x
  2. Step 2: Convert to fraction form
    309,247.60/463,914.60 = 131,753.20/x
  3. Step 3: Cross multiply
    309,247.60x = 463,914.60 × 131,753.20
  4. Step 4: Simplify right side
    309,247.60x = 61,122,233,076.72
  5. Step 5: Solve for x
    x = 61,122,233,076.72/309,247.60
  6. Step 6: Final answer
    x = 197,648.21

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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.