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Finding the Fourth Proportional to 406,683.35, 561,223.05 and 225,406.97

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Solution

The fourth proportional to 406,683.35, 561,223.05 and 225,406.97 is: 311,061.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,683.35 : 561,223.05 = 225,406.97 : x
  2. Step 2: Convert to fraction form
    406,683.35/561,223.05 = 225,406.97/x
  3. Step 3: Cross multiply
    406,683.35x = 561,223.05 × 225,406.97
  4. Step 4: Simplify right side
    406,683.35x = 126,503,584,388.54
  5. Step 5: Solve for x
    x = 126,503,584,388.54/406,683.35
  6. Step 6: Final answer
    x = 311,061.63

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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.