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Finding the Fourth Proportional to 777,618, 1,073,112.84 and 419,922

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Solution

The fourth proportional to 777,618, 1,073,112.84 and 419,922 is: 579,492.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    777,618 : 1,073,112.84 = 419,922 : x
  2. Step 2: Convert to fraction form
    777,618/1,073,112.84 = 419,922/x
  3. Step 3: Cross multiply
    777,618x = 1,073,112.84 × 419,922
  4. Step 4: Simplify right side
    777,618x = 450,623,689,998.48
  5. Step 5: Solve for x
    x = 450,623,689,998.48/777,618
  6. Step 6: Final answer
    x = 579,492.36

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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.