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Finding the Fourth Proportional to 308,971.60, 463,500.60 and 131,477.20

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Solution

The fourth proportional to 308,971.60, 463,500.60 and 131,477.20 is: 197,234.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,971.60 : 463,500.60 = 131,477.20 : x
  2. Step 2: Convert to fraction form
    308,971.60/463,500.60 = 131,477.20/x
  3. Step 3: Cross multiply
    308,971.60x = 463,500.60 × 131,477.20
  4. Step 4: Simplify right side
    308,971.60x = 60,939,761,086.32
  5. Step 5: Solve for x
    x = 60,939,761,086.32/308,971.60
  6. Step 6: Final answer
    x = 197,234.18

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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.