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Finding the Fourth Proportional to 328,820.40, 493,813.80 and 254,122.20

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Solution

The fourth proportional to 328,820.40, 493,813.80 and 254,122.20 is: 381,634.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,820.40 : 493,813.80 = 254,122.20 : x
  2. Step 2: Convert to fraction form
    328,820.40/493,813.80 = 254,122.20/x
  3. Step 3: Cross multiply
    328,820.40x = 493,813.80 × 254,122.20
  4. Step 4: Simplify right side
    328,820.40x = 125,489,049,246.36
  5. Step 5: Solve for x
    x = 125,489,049,246.36/328,820.40
  6. Step 6: Final answer
    x = 381,634.01

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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.