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Finding the Fourth Proportional to 288,216.65, 397,722.48 and 160,900.31

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Solution

The fourth proportional to 288,216.65, 397,722.48 and 160,900.31 is: 222,033.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,216.65 : 397,722.48 = 160,900.31 : x
  2. Step 2: Convert to fraction form
    288,216.65/397,722.48 = 160,900.31/x
  3. Step 3: Cross multiply
    288,216.65x = 397,722.48 × 160,900.31
  4. Step 4: Simplify right side
    288,216.65x = 63,993,670,325.97
  5. Step 5: Solve for x
    x = 63,993,670,325.97/288,216.65
  6. Step 6: Final answer
    x = 222,033.22

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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.