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Finding the Fourth Proportional to 271,413.21, 407,756.04 and 256,076.07

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Solution

The fourth proportional to 271,413.21, 407,756.04 and 256,076.07 is: 384,714.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,413.21 : 407,756.04 = 256,076.07 : x
  2. Step 2: Convert to fraction form
    271,413.21/407,756.04 = 256,076.07/x
  3. Step 3: Cross multiply
    271,413.21x = 407,756.04 × 256,076.07
  4. Step 4: Simplify right side
    271,413.21x = 104,416,564,241.96
  5. Step 5: Solve for x
    x = 104,416,564,241.96/271,413.21
  6. Step 6: Final answer
    x = 384,714.38

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1.5x scale

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.