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Finding the Fourth Proportional to 282,195.36, 389,429.28 and 154,871.28

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Solution

The fourth proportional to 282,195.36, 389,429.28 and 154,871.28 is: 213,722.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,195.36 : 389,429.28 = 154,871.28 : x
  2. Step 2: Convert to fraction form
    282,195.36/389,429.28 = 154,871.28/x
  3. Step 3: Cross multiply
    282,195.36x = 389,429.28 × 154,871.28
  4. Step 4: Simplify right side
    282,195.36x = 60,311,411,063.08
  5. Step 5: Solve for x
    x = 60,311,411,063.08/282,195.36
  6. Step 6: Final answer
    x = 213,722.19

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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.