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Finding the Fourth Proportional to 414,991.80, 622,779.30 and 265,595.40

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Solution

The fourth proportional to 414,991.80, 622,779.30 and 265,595.40 is: 398,579.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,991.80 : 622,779.30 = 265,595.40 : x
  2. Step 2: Convert to fraction form
    414,991.80/622,779.30 = 265,595.40/x
  3. Step 3: Cross multiply
    414,991.80x = 622,779.30 × 265,595.40
  4. Step 4: Simplify right side
    414,991.80x = 165,407,317,295.22
  5. Step 5: Solve for x
    x = 165,407,317,295.22/414,991.80
  6. Step 6: Final answer
    x = 398,579.72

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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.