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Finding the Fourth Proportional to 407,056.80, 561,765.60 and 225,826.32

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Solution

The fourth proportional to 407,056.80, 561,765.60 and 225,826.32 is: 311,655.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,056.80 : 561,765.60 = 225,826.32 : x
  2. Step 2: Convert to fraction form
    407,056.80/561,765.60 = 225,826.32/x
  3. Step 3: Cross multiply
    407,056.80x = 561,765.60 × 225,826.32
  4. Step 4: Simplify right side
    407,056.80x = 126,861,458,150.59
  5. Step 5: Solve for x
    x = 126,861,458,150.59/407,056.80
  6. Step 6: Final answer
    x = 311,655.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.