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Finding the Fourth Proportional to 288,965.98, 398,803.05 and 166,462.60

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Solution

The fourth proportional to 288,965.98, 398,803.05 and 166,462.60 is: 229,735.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,965.98 : 398,803.05 = 166,462.60 : x
  2. Step 2: Convert to fraction form
    288,965.98/398,803.05 = 166,462.60/x
  3. Step 3: Cross multiply
    288,965.98x = 398,803.05 × 166,462.60
  4. Step 4: Simplify right side
    288,965.98x = 66,385,792,590.93
  5. Step 5: Solve for x
    x = 66,385,792,590.93/288,965.98
  6. Step 6: Final answer
    x = 229,735.67

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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.