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Finding the Fourth Proportional to 263,316.75, 363,379.75 and 142,460.64

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Solution

The fourth proportional to 263,316.75, 363,379.75 and 142,460.64 is: 196,597.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,316.75 : 363,379.75 = 142,460.64 : x
  2. Step 2: Convert to fraction form
    263,316.75/363,379.75 = 142,460.64/x
  3. Step 3: Cross multiply
    263,316.75x = 363,379.75 × 142,460.64
  4. Step 4: Simplify right side
    263,316.75x = 51,767,311,748.04
  5. Step 5: Solve for x
    x = 51,767,311,748.04/263,316.75
  6. Step 6: Final answer
    x = 196,597.11

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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.