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Finding the Fourth Proportional to 300,720, 414,993.60 and 166,584

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Solution

The fourth proportional to 300,720, 414,993.60 and 166,584 is: 229,885.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,720 : 414,993.60 = 166,584 : x
  2. Step 2: Convert to fraction form
    300,720/414,993.60 = 166,584/x
  3. Step 3: Cross multiply
    300,720x = 414,993.60 × 166,584
  4. Step 4: Simplify right side
    300,720x = 69,131,293,862.40
  5. Step 5: Solve for x
    x = 69,131,293,862.40/300,720
  6. Step 6: Final answer
    x = 229,885.92

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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.