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Finding the Fourth Proportional to 263,258.61, 363,295.83 and 142,400.23

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Solution

The fourth proportional to 263,258.61, 363,295.83 and 142,400.23 is: 196,511.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,258.61 : 363,295.83 = 142,400.23 : x
  2. Step 2: Convert to fraction form
    263,258.61/363,295.83 = 142,400.23/x
  3. Step 3: Cross multiply
    263,258.61x = 363,295.83 × 142,400.23
  4. Step 4: Simplify right side
    263,258.61x = 51,733,409,375.80
  5. Step 5: Solve for x
    x = 51,733,409,375.80/263,258.61
  6. Step 6: Final answer
    x = 196,511.75

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1.5x scale

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.