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Finding the Fourth Proportional to 300,971.62, 415,340.74 and 165,002.65

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Solution

The fourth proportional to 300,971.62, 415,340.74 and 165,002.65 is: 227,703.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,971.62 : 415,340.74 = 165,002.65 : x
  2. Step 2: Convert to fraction form
    300,971.62/415,340.74 = 165,002.65/x
  3. Step 3: Cross multiply
    300,971.62x = 415,340.74 × 165,002.65
  4. Step 4: Simplify right side
    300,971.62x = 68,532,322,752.96
  5. Step 5: Solve for x
    x = 68,532,322,752.96/300,971.62
  6. Step 6: Final answer
    x = 227,703.60

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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.