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Finding the Fourth Proportional to 355,647.66, 490,972.26 and 274,892.82

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Solution

The fourth proportional to 355,647.66, 490,972.26 and 274,892.82 is: 379,490.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,647.66 : 490,972.26 = 274,892.82 : x
  2. Step 2: Convert to fraction form
    355,647.66/490,972.26 = 274,892.82/x
  3. Step 3: Cross multiply
    355,647.66x = 490,972.26 × 274,892.82
  4. Step 4: Simplify right side
    355,647.66x = 134,964,749,093.17
  5. Step 5: Solve for x
    x = 134,964,749,093.17/355,647.66
  6. Step 6: Final answer
    x = 379,490.05

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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.