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Finding the Fourth Proportional to 407,816.80, 611,725.20 and 281,845.60

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Solution

The fourth proportional to 407,816.80, 611,725.20 and 281,845.60 is: 422,768.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,816.80 : 611,725.20 = 281,845.60 : x
  2. Step 2: Convert to fraction form
    407,816.80/611,725.20 = 281,845.60/x
  3. Step 3: Cross multiply
    407,816.80x = 611,725.20 × 281,845.60
  4. Step 4: Simplify right side
    407,816.80x = 172,412,056,029.12
  5. Step 5: Solve for x
    x = 172,412,056,029.12/407,816.80
  6. Step 6: Final answer
    x = 422,768.40

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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.