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Finding the Fourth Proportional to 306,313.28, 422,731.68 and 172,185.92

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Solution

The fourth proportional to 306,313.28, 422,731.68 and 172,185.92 is: 237,627.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,313.28 : 422,731.68 = 172,185.92 : x
  2. Step 2: Convert to fraction form
    306,313.28/422,731.68 = 172,185.92/x
  3. Step 3: Cross multiply
    306,313.28x = 422,731.68 × 172,185.92
  4. Step 4: Simplify right side
    306,313.28x = 72,788,443,233.95
  5. Step 5: Solve for x
    x = 72,788,443,233.95/306,313.28
  6. Step 6: Final answer
    x = 237,627.45

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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.