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Finding the Fourth Proportional to 263,762.70, 363,992.04 and 142,907.07

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Solution

The fourth proportional to 263,762.70, 363,992.04 and 142,907.07 is: 197,211.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,762.70 : 363,992.04 = 142,907.07 : x
  2. Step 2: Convert to fraction form
    263,762.70/363,992.04 = 142,907.07/x
  3. Step 3: Cross multiply
    263,762.70x = 363,992.04 × 142,907.07
  4. Step 4: Simplify right side
    263,762.70x = 52,017,035,939.72
  5. Step 5: Solve for x
    x = 52,017,035,939.72/263,762.70
  6. Step 6: Final answer
    x = 197,211.49

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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.