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Finding the Fourth Proportional to 306,278, 422,663.66 and 172,142

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Solution

The fourth proportional to 306,278, 422,663.66 and 172,142 is: 237,555.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,278 : 422,663.66 = 172,142 : x
  2. Step 2: Convert to fraction form
    306,278/422,663.66 = 172,142/x
  3. Step 3: Cross multiply
    306,278x = 422,663.66 × 172,142
  4. Step 4: Simplify right side
    306,278x = 72,758,167,759.72
  5. Step 5: Solve for x
    x = 72,758,167,759.72/306,278
  6. Step 6: Final answer
    x = 237,555.97

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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.