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Finding the Fourth Proportional to 286,945.92, 396,000 and 159,624

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Solution

The fourth proportional to 286,945.92, 396,000 and 159,624 is: 220,289.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,945.92 : 396,000 = 159,624 : x
  2. Step 2: Convert to fraction form
    286,945.92/396,000 = 159,624/x
  3. Step 3: Cross multiply
    286,945.92x = 396,000 × 159,624
  4. Step 4: Simplify right side
    286,945.92x = 63,211,104,000
  5. Step 5: Solve for x
    x = 63,211,104,000/286,945.92
  6. Step 6: Final answer
    x = 220,289.26

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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.