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Finding the Fourth Proportional to 298,757.16, 412,161.48 and 208,165.68

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Solution

The fourth proportional to 298,757.16, 412,161.48 and 208,165.68 is: 287,182.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,757.16 : 412,161.48 = 208,165.68 : x
  2. Step 2: Convert to fraction form
    298,757.16/412,161.48 = 208,165.68/x
  3. Step 3: Cross multiply
    298,757.16x = 412,161.48 × 208,165.68
  4. Step 4: Simplify right side
    298,757.16x = 85,797,874,754.01
  5. Step 5: Solve for x
    x = 85,797,874,754.01/298,757.16
  6. Step 6: Final answer
    x = 287,182.66

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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.