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Finding the Fourth Proportional to 406,676.82, 561,218.16 and 225,392.74

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Solution

The fourth proportional to 406,676.82, 561,218.16 and 225,392.74 is: 311,044.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,676.82 : 561,218.16 = 225,392.74 : x
  2. Step 2: Convert to fraction form
    406,676.82/561,218.16 = 225,392.74/x
  3. Step 3: Cross multiply
    406,676.82x = 561,218.16 × 225,392.74
  4. Step 4: Simplify right side
    406,676.82x = 126,494,498,820.16
  5. Step 5: Solve for x
    x = 126,494,498,820.16/406,676.82
  6. Step 6: Final answer
    x = 311,044.28

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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.