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Finding the Fourth Proportional to 505,292.77, 697,314.57 and 275,859.73

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Solution

The fourth proportional to 505,292.77, 697,314.57 and 275,859.73 is: 380,692.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,292.77 : 697,314.57 = 275,859.73 : x
  2. Step 2: Convert to fraction form
    505,292.77/697,314.57 = 275,859.73/x
  3. Step 3: Cross multiply
    505,292.77x = 697,314.57 × 275,859.73
  4. Step 4: Simplify right side
    505,292.77x = 192,361,006,471.75
  5. Step 5: Solve for x
    x = 192,361,006,471.75/505,292.77
  6. Step 6: Final answer
    x = 380,692.18

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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.