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Finding the Fourth Proportional to 306,192, 422,584.56 and 172,056

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Solution

The fourth proportional to 306,192, 422,584.56 and 172,056 is: 237,459.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,192 : 422,584.56 = 172,056 : x
  2. Step 2: Convert to fraction form
    306,192/422,584.56 = 172,056/x
  3. Step 3: Cross multiply
    306,192x = 422,584.56 × 172,056
  4. Step 4: Simplify right side
    306,192x = 72,708,209,055.36
  5. Step 5: Solve for x
    x = 72,708,209,055.36/306,192
  6. Step 6: Final answer
    x = 237,459.53

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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.