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Finding the Fourth Proportional to 406,850.70, 561,467.25 and 225,579.50

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Solution

The fourth proportional to 406,850.70, 561,467.25 and 225,579.50 is: 311,307.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,850.70 : 561,467.25 = 225,579.50 : x
  2. Step 2: Convert to fraction form
    406,850.70/561,467.25 = 225,579.50/x
  3. Step 3: Cross multiply
    406,850.70x = 561,467.25 × 225,579.50
  4. Step 4: Simplify right side
    406,850.70x = 126,655,498,714.04
  5. Step 5: Solve for x
    x = 126,655,498,714.04/406,850.70
  6. Step 6: Final answer
    x = 311,307.07

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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.