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Finding the Fourth Proportional to 345,881, 477,323.08 and 194,978

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Solution

The fourth proportional to 345,881, 477,323.08 and 194,978 is: 269,073.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,881 : 477,323.08 = 194,978 : x
  2. Step 2: Convert to fraction form
    345,881/477,323.08 = 194,978/x
  3. Step 3: Cross multiply
    345,881x = 477,323.08 × 194,978
  4. Step 4: Simplify right side
    345,881x = 93,067,499,492.24
  5. Step 5: Solve for x
    x = 93,067,499,492.24/345,881
  6. Step 6: Final answer
    x = 269,073.76

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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.