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Finding the Fourth Proportional to 271,877.80, 407,816.70 and 228,575.20

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Solution

The fourth proportional to 271,877.80, 407,816.70 and 228,575.20 is: 342,862.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,877.80 : 407,816.70 = 228,575.20 : x
  2. Step 2: Convert to fraction form
    271,877.80/407,816.70 = 228,575.20/x
  3. Step 3: Cross multiply
    271,877.80x = 407,816.70 × 228,575.20
  4. Step 4: Simplify right side
    271,877.80x = 93,216,783,765.84
  5. Step 5: Solve for x
    x = 93,216,783,765.84/271,877.80
  6. Step 6: Final answer
    x = 342,862.80

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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.