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Finding the Fourth Proportional to 329,817.60, 494,726.40 and 205,401.60

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Solution

The fourth proportional to 329,817.60, 494,726.40 and 205,401.60 is: 308,102.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,817.60 : 494,726.40 = 205,401.60 : x
  2. Step 2: Convert to fraction form
    329,817.60/494,726.40 = 205,401.60/x
  3. Step 3: Cross multiply
    329,817.60x = 494,726.40 × 205,401.60
  4. Step 4: Simplify right side
    329,817.60x = 101,617,594,122.24
  5. Step 5: Solve for x
    x = 101,617,594,122.24/329,817.60
  6. Step 6: Final answer
    x = 308,102.40

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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.