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Finding the Fourth Proportional to 291,164.10, 401,795.21 and 162,107.64

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Solution

The fourth proportional to 291,164.10, 401,795.21 and 162,107.64 is: 223,702.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,164.10 : 401,795.21 = 162,107.64 : x
  2. Step 2: Convert to fraction form
    291,164.10/401,795.21 = 162,107.64/x
  3. Step 3: Cross multiply
    291,164.10x = 401,795.21 × 162,107.64
  4. Step 4: Simplify right side
    291,164.10x = 65,134,072,445.87
  5. Step 5: Solve for x
    x = 65,134,072,445.87/291,164.10
  6. Step 6: Final answer
    x = 223,702.28

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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.