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Finding the Fourth Proportional to 345,883, 477,325.83 and 194,980

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Solution

The fourth proportional to 345,883, 477,325.83 and 194,980 is: 269,076.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,883 : 477,325.83 = 194,980 : x
  2. Step 2: Convert to fraction form
    345,883/477,325.83 = 194,980/x
  3. Step 3: Cross multiply
    345,883x = 477,325.83 × 194,980
  4. Step 4: Simplify right side
    345,883x = 93,068,990,333.40
  5. Step 5: Solve for x
    x = 93,068,990,333.40/345,883
  6. Step 6: Final answer
    x = 269,076.51

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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.