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Finding the Fourth Proportional to 271,817.40, 407,726.10 and 147,401.40

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Solution

The fourth proportional to 271,817.40, 407,726.10 and 147,401.40 is: 221,102.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,817.40 : 407,726.10 = 147,401.40 : x
  2. Step 2: Convert to fraction form
    271,817.40/407,726.10 = 147,401.40/x
  3. Step 3: Cross multiply
    271,817.40x = 407,726.10 × 147,401.40
  4. Step 4: Simplify right side
    271,817.40x = 60,099,397,956.54
  5. Step 5: Solve for x
    x = 60,099,397,956.54/271,817.40
  6. Step 6: Final answer
    x = 221,102.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.