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Finding the Fourth Proportional to 300,576, 414,794.88 and 166,440

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Solution

The fourth proportional to 300,576, 414,794.88 and 166,440 is: 229,687.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,576 : 414,794.88 = 166,440 : x
  2. Step 2: Convert to fraction form
    300,576/414,794.88 = 166,440/x
  3. Step 3: Cross multiply
    300,576x = 414,794.88 × 166,440
  4. Step 4: Simplify right side
    300,576x = 69,038,459,827.20
  5. Step 5: Solve for x
    x = 69,038,459,827.20/300,576
  6. Step 6: Final answer
    x = 229,687.20

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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.