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Finding the Fourth Proportional to 256,993.48, 354,650.16 and 143,815.96

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Solution

The fourth proportional to 256,993.48, 354,650.16 and 143,815.96 is: 198,465.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,993.48 : 354,650.16 = 143,815.96 : x
  2. Step 2: Convert to fraction form
    256,993.48/354,650.16 = 143,815.96/x
  3. Step 3: Cross multiply
    256,993.48x = 354,650.16 × 143,815.96
  4. Step 4: Simplify right side
    256,993.48x = 51,004,353,224.55
  5. Step 5: Solve for x
    x = 51,004,353,224.55/256,993.48
  6. Step 6: Final answer
    x = 198,465.55

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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.