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Finding the Fourth Proportional to 406,853.85, 561,491.58 and 225,622.62

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Solution

The fourth proportional to 406,853.85, 561,491.58 and 225,622.62 is: 311,377.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,853.85 : 561,491.58 = 225,622.62 : x
  2. Step 2: Convert to fraction form
    406,853.85/561,491.58 = 225,622.62/x
  3. Step 3: Cross multiply
    406,853.85x = 561,491.58 × 225,622.62
  4. Step 4: Simplify right side
    406,853.85x = 126,685,201,387.54
  5. Step 5: Solve for x
    x = 126,685,201,387.54/406,853.85
  6. Step 6: Final answer
    x = 311,377.66

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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.