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Finding the Fourth Proportional to 282,000, 389,194.56 and 162,768

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Solution

The fourth proportional to 282,000, 389,194.56 and 162,768 is: 224,639.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,000 : 389,194.56 = 162,768 : x
  2. Step 2: Convert to fraction form
    282,000/389,194.56 = 162,768/x
  3. Step 3: Cross multiply
    282,000x = 389,194.56 × 162,768
  4. Step 4: Simplify right side
    282,000x = 63,348,420,142.08
  5. Step 5: Solve for x
    x = 63,348,420,142.08/282,000
  6. Step 6: Final answer
    x = 224,639.79

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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.