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Finding the Fourth Proportional to 293,274, 404,713.80 and 172,428.88

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Solution

The fourth proportional to 293,274, 404,713.80 and 172,428.88 is: 237,949.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,274 : 404,713.80 = 172,428.88 : x
  2. Step 2: Convert to fraction form
    293,274/404,713.80 = 172,428.88/x
  3. Step 3: Cross multiply
    293,274x = 404,713.80 × 172,428.88
  4. Step 4: Simplify right side
    293,274x = 69,784,347,254.54
  5. Step 5: Solve for x
    x = 69,784,347,254.54/293,274
  6. Step 6: Final answer
    x = 237,949.31

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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.