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Finding the Fourth Proportional to 777,638, 1,073,140.44 and 419,942

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Solution

The fourth proportional to 777,638, 1,073,140.44 and 419,942 is: 579,519.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    777,638 : 1,073,140.44 = 419,942 : x
  2. Step 2: Convert to fraction form
    777,638/1,073,140.44 = 419,942/x
  3. Step 3: Cross multiply
    777,638x = 1,073,140.44 × 419,942
  4. Step 4: Simplify right side
    777,638x = 450,656,742,654.48
  5. Step 5: Solve for x
    x = 450,656,742,654.48/777,638
  6. Step 6: Final answer
    x = 579,519.96

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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.