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Finding the Fourth Proportional to 306,337.68, 422,742.24 and 172,201.68

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Solution

The fourth proportional to 306,337.68, 422,742.24 and 172,201.68 is: 237,636.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,337.68 : 422,742.24 = 172,201.68 : x
  2. Step 2: Convert to fraction form
    306,337.68/422,742.24 = 172,201.68/x
  3. Step 3: Cross multiply
    306,337.68x = 422,742.24 × 172,201.68
  4. Step 4: Simplify right side
    306,337.68x = 72,796,923,934.96
  5. Step 5: Solve for x
    x = 72,796,923,934.96/306,337.68
  6. Step 6: Final answer
    x = 237,636.21

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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.