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Finding the Fourth Proportional to 345,874.50, 477,314.10 and 194,971.50

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Solution

The fourth proportional to 345,874.50, 477,314.10 and 194,971.50 is: 269,064.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,874.50 : 477,314.10 = 194,971.50 : x
  2. Step 2: Convert to fraction form
    345,874.50/477,314.10 = 194,971.50/x
  3. Step 3: Cross multiply
    345,874.50x = 477,314.10 × 194,971.50
  4. Step 4: Simplify right side
    345,874.50x = 93,062,646,048.15
  5. Step 5: Solve for x
    x = 93,062,646,048.15/345,874.50
  6. Step 6: Final answer
    x = 269,064.78

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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.