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Finding the Fourth Proportional to 345,795.75, 477,212.72 and 194,892.75

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Solution

The fourth proportional to 345,795.75, 477,212.72 and 194,892.75 is: 268,960.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,795.75 : 477,212.72 = 194,892.75 : x
  2. Step 2: Convert to fraction form
    345,795.75/477,212.72 = 194,892.75/x
  3. Step 3: Cross multiply
    345,795.75x = 477,212.72 × 194,892.75
  4. Step 4: Simplify right side
    345,795.75x = 93,005,298,361.32
  5. Step 5: Solve for x
    x = 93,005,298,361.32/345,795.75
  6. Step 6: Final answer
    x = 268,960.21

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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.