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Finding the Fourth Proportional to 298,779.80, 447,898.44 and 149,065.88

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Solution

The fourth proportional to 298,779.80, 447,898.44 and 149,065.88 is: 223,463.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,779.80 : 447,898.44 = 149,065.88 : x
  2. Step 2: Convert to fraction form
    298,779.80/447,898.44 = 149,065.88/x
  3. Step 3: Cross multiply
    298,779.80x = 447,898.44 × 149,065.88
  4. Step 4: Simplify right side
    298,779.80x = 66,766,375,109.23
  5. Step 5: Solve for x
    x = 66,766,375,109.23/298,779.80
  6. Step 6: Final answer
    x = 223,463.48

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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.