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Finding the Fourth Proportional to 491,851.84, 678,748.32 and 276,992.32

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Solution

The fourth proportional to 491,851.84, 678,748.32 and 276,992.32 is: 382,245.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,851.84 : 678,748.32 = 276,992.32 : x
  2. Step 2: Convert to fraction form
    491,851.84/678,748.32 = 276,992.32/x
  3. Step 3: Cross multiply
    491,851.84x = 678,748.32 × 276,992.32
  4. Step 4: Simplify right side
    491,851.84x = 188,008,071,852.90
  5. Step 5: Solve for x
    x = 188,008,071,852.90/491,851.84
  6. Step 6: Final answer
    x = 382,245.34

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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.