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Finding the Fourth Proportional to 300,012.84, 414,064.44 and 172,661.40

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Solution

The fourth proportional to 300,012.84, 414,064.44 and 172,661.40 is: 238,299.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,012.84 : 414,064.44 = 172,661.40 : x
  2. Step 2: Convert to fraction form
    300,012.84/414,064.44 = 172,661.40/x
  3. Step 3: Cross multiply
    300,012.84x = 414,064.44 × 172,661.40
  4. Step 4: Simplify right side
    300,012.84x = 71,492,945,900.62
  5. Step 5: Solve for x
    x = 71,492,945,900.62/300,012.84
  6. Step 6: Final answer
    x = 238,299.62

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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.