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Finding the Fourth Proportional to 491,795.82, 678,689.55 and 274,018.82

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Solution

The fourth proportional to 491,795.82, 678,689.55 and 274,018.82 is: 378,152.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,795.82 : 678,689.55 = 274,018.82 : x
  2. Step 2: Convert to fraction form
    491,795.82/678,689.55 = 274,018.82/x
  3. Step 3: Cross multiply
    491,795.82x = 678,689.55 × 274,018.82
  4. Step 4: Simplify right side
    491,795.82x = 185,973,706,243.88
  5. Step 5: Solve for x
    x = 185,973,706,243.88/491,795.82
  6. Step 6: Final answer
    x = 378,152.27

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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.