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Finding the Fourth Proportional to 345,678.68, 477,040.38 and 194,772.44

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Solution

The fourth proportional to 345,678.68, 477,040.38 and 194,772.44 is: 268,788.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,678.68 : 477,040.38 = 194,772.44 : x
  2. Step 2: Convert to fraction form
    345,678.68/477,040.38 = 194,772.44/x
  3. Step 3: Cross multiply
    345,678.68x = 477,040.38 × 194,772.44
  4. Step 4: Simplify right side
    345,678.68x = 92,914,318,791.13
  5. Step 5: Solve for x
    x = 92,914,318,791.13/345,678.68
  6. Step 6: Final answer
    x = 268,788.11

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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.