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Finding the Fourth Proportional to 345,878, 477,318.93 and 194,975

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Solution

The fourth proportional to 345,878, 477,318.93 and 194,975 is: 269,069.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,878 : 477,318.93 = 194,975 : x
  2. Step 2: Convert to fraction form
    345,878/477,318.93 = 194,975/x
  3. Step 3: Cross multiply
    345,878x = 477,318.93 × 194,975
  4. Step 4: Simplify right side
    345,878x = 93,065,258,376.75
  5. Step 5: Solve for x
    x = 93,065,258,376.75/345,878
  6. Step 6: Final answer
    x = 269,069.61

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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.