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Finding the Fourth Proportional to 291,138.92, 401,779.56 and 163,819.04

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Solution

The fourth proportional to 291,138.92, 401,779.56 and 163,819.04 is: 226,074.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,138.92 : 401,779.56 = 163,819.04 : x
  2. Step 2: Convert to fraction form
    291,138.92/401,779.56 = 163,819.04/x
  3. Step 3: Cross multiply
    291,138.92x = 401,779.56 × 163,819.04
  4. Step 4: Simplify right side
    291,138.92x = 65,819,141,810.82
  5. Step 5: Solve for x
    x = 65,819,141,810.82/291,138.92
  6. Step 6: Final answer
    x = 226,074.69

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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.