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Finding the Fourth Proportional to 427,119.06, 640,684.80 and 111,576

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Solution

The fourth proportional to 427,119.06, 640,684.80 and 111,576 is: 167,365.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,119.06 : 640,684.80 = 111,576 : x
  2. Step 2: Convert to fraction form
    427,119.06/640,684.80 = 111,576/x
  3. Step 3: Cross multiply
    427,119.06x = 640,684.80 × 111,576
  4. Step 4: Simplify right side
    427,119.06x = 71,485,047,244.80
  5. Step 5: Solve for x
    x = 71,485,047,244.80/427,119.06
  6. Step 6: Final answer
    x = 167,365.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.