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Finding the Fourth Proportional to 288,256.85, 397,794.80 and 160,932.45

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Solution

The fourth proportional to 288,256.85, 397,794.80 and 160,932.45 is: 222,086.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,256.85 : 397,794.80 = 160,932.45 : x
  2. Step 2: Convert to fraction form
    288,256.85/397,794.80 = 160,932.45/x
  3. Step 3: Cross multiply
    288,256.85x = 397,794.80 × 160,932.45
  4. Step 4: Simplify right side
    288,256.85x = 64,018,089,393.68
  5. Step 5: Solve for x
    x = 64,018,089,393.68/288,256.85
  6. Step 6: Final answer
    x = 222,086.97

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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.