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Finding the Fourth Proportional to 300,779.70, 415,074.69 and 164,813.10

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Solution

The fourth proportional to 300,779.70, 415,074.69 and 164,813.10 is: 227,441.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,779.70 : 415,074.69 = 164,813.10 : x
  2. Step 2: Convert to fraction form
    300,779.70/415,074.69 = 164,813.10/x
  3. Step 3: Cross multiply
    300,779.70x = 415,074.69 × 164,813.10
  4. Step 4: Simplify right side
    300,779.70x = 68,409,746,390.44
  5. Step 5: Solve for x
    x = 68,409,746,390.44/300,779.70
  6. Step 6: Final answer
    x = 227,441.37

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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.