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Finding the Fourth Proportional to 306,133.72, 422,469.59 and 168,318.47

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Solution

The fourth proportional to 306,133.72, 422,469.59 and 168,318.47 is: 232,282.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,133.72 : 422,469.59 = 168,318.47 : x
  2. Step 2: Convert to fraction form
    306,133.72/422,469.59 = 168,318.47/x
  3. Step 3: Cross multiply
    306,133.72x = 422,469.59 × 168,318.47
  4. Step 4: Simplify right side
    306,133.72x = 71,109,433,679.31
  5. Step 5: Solve for x
    x = 71,109,433,679.31/306,133.72
  6. Step 6: Final answer
    x = 232,282.27

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1.5x scale

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.