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Finding the Fourth Proportional to 299,779.20, 449,727.84 and 89,412.48

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Solution

The fourth proportional to 299,779.20, 449,727.84 and 89,412.48 is: 134,136.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,779.20 : 449,727.84 = 89,412.48 : x
  2. Step 2: Convert to fraction form
    299,779.20/449,727.84 = 89,412.48/x
  3. Step 3: Cross multiply
    299,779.20x = 449,727.84 × 89,412.48
  4. Step 4: Simplify right side
    299,779.20x = 40,211,281,499.44
  5. Step 5: Solve for x
    x = 40,211,281,499.44/299,779.20
  6. Step 6: Final answer
    x = 134,136.33

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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.