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Finding the Fourth Proportional to 306,190, 422,581.80 and 172,054

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Solution

The fourth proportional to 306,190, 422,581.80 and 172,054 is: 237,456.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,190 : 422,581.80 = 172,054 : x
  2. Step 2: Convert to fraction form
    306,190/422,581.80 = 172,054/x
  3. Step 3: Cross multiply
    306,190x = 422,581.80 × 172,054
  4. Step 4: Simplify right side
    306,190x = 72,706,889,017.20
  5. Step 5: Solve for x
    x = 72,706,889,017.20/306,190
  6. Step 6: Final answer
    x = 237,456.77

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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.