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Finding the Fourth Proportional to 210,735.08, 315,769.70 and 171,098.54

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Solution

The fourth proportional to 210,735.08, 315,769.70 and 171,098.54 is: 256,377.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,735.08 : 315,769.70 = 171,098.54 : x
  2. Step 2: Convert to fraction form
    210,735.08/315,769.70 = 171,098.54/x
  3. Step 3: Cross multiply
    210,735.08x = 315,769.70 × 171,098.54
  4. Step 4: Simplify right side
    210,735.08x = 54,027,734,646.24
  5. Step 5: Solve for x
    x = 54,027,734,646.24/210,735.08
  6. Step 6: Final answer
    x = 256,377.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.