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Finding the Fourth Proportional to 300,687, 414,948.90 and 166,551

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Solution

The fourth proportional to 300,687, 414,948.90 and 166,551 is: 229,840.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,687 : 414,948.90 = 166,551 : x
  2. Step 2: Convert to fraction form
    300,687/414,948.90 = 166,551/x
  3. Step 3: Cross multiply
    300,687x = 414,948.90 × 166,551
  4. Step 4: Simplify right side
    300,687x = 69,110,154,243.90
  5. Step 5: Solve for x
    x = 69,110,154,243.90/300,687
  6. Step 6: Final answer
    x = 229,840.85

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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.