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Finding the Fourth Proportional to 407,005.41, 561,667.46 and 225,745.10

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Solution

The fourth proportional to 407,005.41, 561,667.46 and 225,745.10 is: 311,528.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,005.41 : 561,667.46 = 225,745.10 : x
  2. Step 2: Convert to fraction form
    407,005.41/561,667.46 = 225,745.10/x
  3. Step 3: Cross multiply
    407,005.41x = 561,667.46 × 225,745.10
  4. Step 4: Simplify right side
    407,005.41x = 126,793,672,987.38
  5. Step 5: Solve for x
    x = 126,793,672,987.38/407,005.41
  6. Step 6: Final answer
    x = 311,528.23

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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.