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Finding the Fourth Proportional to 293,278, 404,719.32 and 172,432.88

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Solution

The fourth proportional to 293,278, 404,719.32 and 172,432.88 is: 237,954.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,278 : 404,719.32 = 172,432.88 : x
  2. Step 2: Convert to fraction form
    293,278/404,719.32 = 172,432.88/x
  3. Step 3: Cross multiply
    293,278x = 404,719.32 × 172,432.88
  4. Step 4: Simplify right side
    293,278x = 69,786,917,939.24
  5. Step 5: Solve for x
    x = 69,786,917,939.24/293,278
  6. Step 6: Final answer
    x = 237,954.83

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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.