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Finding the Fourth Proportional to 778,238, 1,073,968.44 and 420,542

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Solution

The fourth proportional to 778,238, 1,073,968.44 and 420,542 is: 580,347.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    778,238 : 1,073,968.44 = 420,542 : x
  2. Step 2: Convert to fraction form
    778,238/1,073,968.44 = 420,542/x
  3. Step 3: Cross multiply
    778,238x = 1,073,968.44 × 420,542
  4. Step 4: Simplify right side
    778,238x = 451,648,835,694.48
  5. Step 5: Solve for x
    x = 451,648,835,694.48/778,238
  6. Step 6: Final answer
    x = 580,347.96

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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.