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Finding the Fourth Proportional to 563,021.75, 842,413.77 and 394,870.28

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Solution

The fourth proportional to 563,021.75, 842,413.77 and 394,870.28 is: 590,819.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,021.75 : 842,413.77 = 394,870.28 : x
  2. Step 2: Convert to fraction form
    563,021.75/842,413.77 = 394,870.28/x
  3. Step 3: Cross multiply
    563,021.75x = 842,413.77 × 394,870.28
  4. Step 4: Simplify right side
    563,021.75x = 332,644,157,023.69
  5. Step 5: Solve for x
    x = 332,644,157,023.69/563,021.75
  6. Step 6: Final answer
    x = 590,819.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.