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Finding the Fourth Proportional to 412,305.96, 618,477.60 and 112,779.84

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Solution

The fourth proportional to 412,305.96, 618,477.60 and 112,779.84 is: 169,174.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,305.96 : 618,477.60 = 112,779.84 : x
  2. Step 2: Convert to fraction form
    412,305.96/618,477.60 = 112,779.84/x
  3. Step 3: Cross multiply
    412,305.96x = 618,477.60 × 112,779.84
  4. Step 4: Simplify right side
    412,305.96x = 69,751,804,771.58
  5. Step 5: Solve for x
    x = 69,751,804,771.58/412,305.96
  6. Step 6: Final answer
    x = 169,174.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.