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Finding the Fourth Proportional to 306,831, 423,433.26 and 172,695

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Solution

The fourth proportional to 306,831, 423,433.26 and 172,695 is: 238,322.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,831 : 423,433.26 = 172,695 : x
  2. Step 2: Convert to fraction form
    306,831/423,433.26 = 172,695/x
  3. Step 3: Cross multiply
    306,831x = 423,433.26 × 172,695
  4. Step 4: Simplify right side
    306,831x = 73,124,806,835.70
  5. Step 5: Solve for x
    x = 73,124,806,835.70/306,831
  6. Step 6: Final answer
    x = 238,322.75

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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.