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Finding the Fourth Proportional to 291,263.31, 401,922.81 and 162,197.91

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Solution

The fourth proportional to 291,263.31, 401,922.81 and 162,197.91 is: 223,821.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,263.31 : 401,922.81 = 162,197.91 : x
  2. Step 2: Convert to fraction form
    291,263.31/401,922.81 = 162,197.91/x
  3. Step 3: Cross multiply
    291,263.31x = 401,922.81 × 162,197.91
  4. Step 4: Simplify right side
    291,263.31x = 65,191,039,763.33
  5. Step 5: Solve for x
    x = 65,191,039,763.33/291,263.31
  6. Step 6: Final answer
    x = 223,821.67

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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.