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Finding the Fourth Proportional to 282,072.84, 389,294.94 and 161,219.22

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Solution

The fourth proportional to 282,072.84, 389,294.94 and 161,219.22 is: 222,502.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,072.84 : 389,294.94 = 161,219.22 : x
  2. Step 2: Convert to fraction form
    282,072.84/389,294.94 = 161,219.22/x
  3. Step 3: Cross multiply
    282,072.84x = 389,294.94 × 161,219.22
  4. Step 4: Simplify right side
    282,072.84x = 62,761,826,576.75
  5. Step 5: Solve for x
    x = 62,761,826,576.75/282,072.84
  6. Step 6: Final answer
    x = 222,502.20

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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.