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Finding the Fourth Proportional to 306,140.90, 422,472.09 and 172,004.90

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Solution

The fourth proportional to 306,140.90, 422,472.09 and 172,004.90 is: 237,365.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,140.90 : 422,472.09 = 172,004.90 : x
  2. Step 2: Convert to fraction form
    306,140.90/422,472.09 = 172,004.90/x
  3. Step 3: Cross multiply
    306,140.90x = 422,472.09 × 172,004.90
  4. Step 4: Simplify right side
    306,140.90x = 72,667,269,593.24
  5. Step 5: Solve for x
    x = 72,667,269,593.24/306,140.90
  6. Step 6: Final answer
    x = 237,365.44

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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.