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Finding the Fourth Proportional to 291,090.30, 401,704.54 and 162,025.98

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Solution

The fourth proportional to 291,090.30, 401,704.54 and 162,025.98 is: 223,595.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,090.30 : 401,704.54 = 162,025.98 : x
  2. Step 2: Convert to fraction form
    291,090.30/401,704.54 = 162,025.98/x
  3. Step 3: Cross multiply
    291,090.30x = 401,704.54 × 162,025.98
  4. Step 4: Simplify right side
    291,090.30x = 65,086,571,763.95
  5. Step 5: Solve for x
    x = 65,086,571,763.95/291,090.30
  6. Step 6: Final answer
    x = 223,595.81

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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.