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Finding the Fourth Proportional to 328,742.80, 493,114.20 and 269,645.20

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Solution

The fourth proportional to 328,742.80, 493,114.20 and 269,645.20 is: 404,467.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,742.80 : 493,114.20 = 269,645.20 : x
  2. Step 2: Convert to fraction form
    328,742.80/493,114.20 = 269,645.20/x
  3. Step 3: Cross multiply
    328,742.80x = 493,114.20 × 269,645.20
  4. Step 4: Simplify right side
    328,742.80x = 132,965,877,081.84
  5. Step 5: Solve for x
    x = 132,965,877,081.84/328,742.80
  6. Step 6: Final answer
    x = 404,467.80

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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.