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Finding the Fourth Proportional to 406,525, 561,004.50 and 227,677

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Solution

The fourth proportional to 406,525, 561,004.50 and 227,677 is: 314,194.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,525 : 561,004.50 = 227,677 : x
  2. Step 2: Convert to fraction form
    406,525/561,004.50 = 227,677/x
  3. Step 3: Cross multiply
    406,525x = 561,004.50 × 227,677
  4. Step 4: Simplify right side
    406,525x = 127,727,821,546.50
  5. Step 5: Solve for x
    x = 127,727,821,546.50/406,525
  6. Step 6: Final answer
    x = 314,194.26

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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.