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Finding the Fourth Proportional to 328,987.40, 494,064.30 and 254,289.20

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Solution

The fourth proportional to 328,987.40, 494,064.30 and 254,289.20 is: 381,884.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,987.40 : 494,064.30 = 254,289.20 : x
  2. Step 2: Convert to fraction form
    328,987.40/494,064.30 = 254,289.20/x
  3. Step 3: Cross multiply
    328,987.40x = 494,064.30 × 254,289.20
  4. Step 4: Simplify right side
    328,987.40x = 125,635,215,595.56
  5. Step 5: Solve for x
    x = 125,635,215,595.56/328,987.40
  6. Step 6: Final answer
    x = 381,884.58

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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.