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Finding the Fourth Proportional to 256,982.70, 354,296.36 and 210,873.45

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Solution

The fourth proportional to 256,982.70, 354,296.36 and 210,873.45 is: 290,726.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,982.70 : 354,296.36 = 210,873.45 : x
  2. Step 2: Convert to fraction form
    256,982.70/354,296.36 = 210,873.45/x
  3. Step 3: Cross multiply
    256,982.70x = 354,296.36 × 210,873.45
  4. Step 4: Simplify right side
    256,982.70x = 74,711,697,611.44
  5. Step 5: Solve for x
    x = 74,711,697,611.44/256,982.70
  6. Step 6: Final answer
    x = 290,726.56

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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.