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Finding the Fourth Proportional to 357,978.68, 494,012.34 and 196,844.06

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Solution

The fourth proportional to 357,978.68, 494,012.34 and 196,844.06 is: 271,645.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,978.68 : 494,012.34 = 196,844.06 : x
  2. Step 2: Convert to fraction form
    357,978.68/494,012.34 = 196,844.06/x
  3. Step 3: Cross multiply
    357,978.68x = 494,012.34 × 196,844.06
  4. Step 4: Simplify right side
    357,978.68x = 97,243,394,695.70
  5. Step 5: Solve for x
    x = 97,243,394,695.70/357,978.68
  6. Step 6: Final answer
    x = 271,645.77

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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.