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Finding the Fourth Proportional to 308,961.70, 463,442.55 and 131,409.70

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Solution

The fourth proportional to 308,961.70, 463,442.55 and 131,409.70 is: 197,114.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,961.70 : 463,442.55 = 131,409.70 : x
  2. Step 2: Convert to fraction form
    308,961.70/463,442.55 = 131,409.70/x
  3. Step 3: Cross multiply
    308,961.70x = 463,442.55 × 131,409.70
  4. Step 4: Simplify right side
    308,961.70x = 60,900,846,462.74
  5. Step 5: Solve for x
    x = 60,900,846,462.74/308,961.70
  6. Step 6: Final answer
    x = 197,114.55

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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.