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Finding the Fourth Proportional to 777,645, 1,073,150.10 and 419,949

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Solution

The fourth proportional to 777,645, 1,073,150.10 and 419,949 is: 579,529.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    777,645 : 1,073,150.10 = 419,949 : x
  2. Step 2: Convert to fraction form
    777,645/1,073,150.10 = 419,949/x
  3. Step 3: Cross multiply
    777,645x = 1,073,150.10 × 419,949
  4. Step 4: Simplify right side
    777,645x = 450,668,311,344.90
  5. Step 5: Solve for x
    x = 450,668,311,344.90/777,645
  6. Step 6: Final answer
    x = 579,529.62

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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.