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Finding the Fourth Proportional to 300,591, 414,815.58 and 166,455

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Solution

The fourth proportional to 300,591, 414,815.58 and 166,455 is: 229,707.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,591 : 414,815.58 = 166,455 : x
  2. Step 2: Convert to fraction form
    300,591/414,815.58 = 166,455/x
  3. Step 3: Cross multiply
    300,591x = 414,815.58 × 166,455
  4. Step 4: Simplify right side
    300,591x = 69,048,127,368.90
  5. Step 5: Solve for x
    x = 69,048,127,368.90/300,591
  6. Step 6: Final answer
    x = 229,707.90

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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.