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Finding the Fourth Proportional to 306,342.56, 422,748.97 and 172,206.56

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Solution

The fourth proportional to 306,342.56, 422,748.97 and 172,206.56 is: 237,642.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,342.56 : 422,748.97 = 172,206.56 : x
  2. Step 2: Convert to fraction form
    306,342.56/422,748.97 = 172,206.56/x
  3. Step 3: Cross multiply
    306,342.56x = 422,748.97 × 172,206.56
  4. Step 4: Simplify right side
    306,342.56x = 72,800,143,322.98
  5. Step 5: Solve for x
    x = 72,800,143,322.98/306,342.56
  6. Step 6: Final answer
    x = 237,642.93

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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.