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Finding the Fourth Proportional to 406,774.46, 561,289.75 and 225,486.28

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Solution

The fourth proportional to 406,774.46, 561,289.75 and 225,486.28 is: 311,138.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,774.46 : 561,289.75 = 225,486.28 : x
  2. Step 2: Convert to fraction form
    406,774.46/561,289.75 = 225,486.28/x
  3. Step 3: Cross multiply
    406,774.46x = 561,289.75 × 225,486.28
  4. Step 4: Simplify right side
    406,774.46x = 126,563,139,135.89
  5. Step 5: Solve for x
    x = 126,563,139,135.89/406,774.46
  6. Step 6: Final answer
    x = 311,138.36

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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.