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Finding the Fourth Proportional to 282,074.84, 389,297.70 and 161,221.22

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Solution

The fourth proportional to 282,074.84, 389,297.70 and 161,221.22 is: 222,504.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,074.84 : 389,297.70 = 161,221.22 : x
  2. Step 2: Convert to fraction form
    282,074.84/389,297.70 = 161,221.22/x
  3. Step 3: Cross multiply
    282,074.84x = 389,297.70 × 161,221.22
  4. Step 4: Simplify right side
    282,074.84x = 62,763,050,137.19
  5. Step 5: Solve for x
    x = 62,763,050,137.19/282,074.84
  6. Step 6: Final answer
    x = 222,504.96

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1.5x scale

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.