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Finding the Fourth Proportional to 377,212.80, 520,550.70 and 205,130.82

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Solution

The fourth proportional to 377,212.80, 520,550.70 and 205,130.82 is: 283,078.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,212.80 : 520,550.70 = 205,130.82 : x
  2. Step 2: Convert to fraction form
    377,212.80/520,550.70 = 205,130.82/x
  3. Step 3: Cross multiply
    377,212.80x = 520,550.70 × 205,130.82
  4. Step 4: Simplify right side
    377,212.80x = 106,780,991,942.57
  5. Step 5: Solve for x
    x = 106,780,991,942.57/377,212.80
  6. Step 6: Final answer
    x = 283,078.92

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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.