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Finding the Fourth Proportional to 306,180, 422,530.56 and 172,044

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Solution

The fourth proportional to 306,180, 422,530.56 and 172,044 is: 237,421.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,180 : 422,530.56 = 172,044 : x
  2. Step 2: Convert to fraction form
    306,180/422,530.56 = 172,044/x
  3. Step 3: Cross multiply
    306,180x = 422,530.56 × 172,044
  4. Step 4: Simplify right side
    306,180x = 72,693,847,664.64
  5. Step 5: Solve for x
    x = 72,693,847,664.64/306,180
  6. Step 6: Final answer
    x = 237,421.93

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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.