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Finding the Fourth Proportional to 282,550.74, 389,941.89 and 161,729.94

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Solution

The fourth proportional to 282,550.74, 389,941.89 and 161,729.94 is: 223,199.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,550.74 : 389,941.89 = 161,729.94 : x
  2. Step 2: Convert to fraction form
    282,550.74/389,941.89 = 161,729.94/x
  3. Step 3: Cross multiply
    282,550.74x = 389,941.89 × 161,729.94
  4. Step 4: Simplify right side
    282,550.74x = 63,065,278,473.19
  5. Step 5: Solve for x
    x = 63,065,278,473.19/282,550.74
  6. Step 6: Final answer
    x = 223,199.83

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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.