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Finding the Fourth Proportional to 345,885, 477,328.60 and 194,982

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Solution

The fourth proportional to 345,885, 477,328.60 and 194,982 is: 269,079.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,885 : 477,328.60 = 194,982 : x
  2. Step 2: Convert to fraction form
    345,885/477,328.60 = 194,982/x
  3. Step 3: Cross multiply
    345,885x = 477,328.60 × 194,982
  4. Step 4: Simplify right side
    345,885x = 93,070,485,085.20
  5. Step 5: Solve for x
    x = 93,070,485,085.20/345,885
  6. Step 6: Final answer
    x = 269,079.28

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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.