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Finding the Fourth Proportional to 306,504.36, 422,978.04 and 170,544

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Solution

The fourth proportional to 306,504.36, 422,978.04 and 170,544 is: 235,351.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,504.36 : 422,978.04 = 170,544 : x
  2. Step 2: Convert to fraction form
    306,504.36/422,978.04 = 170,544/x
  3. Step 3: Cross multiply
    306,504.36x = 422,978.04 × 170,544
  4. Step 4: Simplify right side
    306,504.36x = 72,136,366,853.76
  5. Step 5: Solve for x
    x = 72,136,366,853.76/306,504.36
  6. Step 6: Final answer
    x = 235,351.85

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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.