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Finding the Fourth Proportional to 777,763.50, 1,073,314.04 and 420,067.50

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Solution

The fourth proportional to 777,763.50, 1,073,314.04 and 420,067.50 is: 579,693.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    777,763.50 : 1,073,314.04 = 420,067.50 : x
  2. Step 2: Convert to fraction form
    777,763.50/1,073,314.04 = 420,067.50/x
  3. Step 3: Cross multiply
    777,763.50x = 1,073,314.04 × 420,067.50
  4. Step 4: Simplify right side
    777,763.50x = 450,864,345,497.70
  5. Step 5: Solve for x
    x = 450,864,345,497.70/777,763.50
  6. Step 6: Final answer
    x = 579,693.37

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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.