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Finding the Fourth Proportional to 406,539.52, 561,005.64 and 222,777

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Solution

The fourth proportional to 406,539.52, 561,005.64 and 222,777 is: 307,421.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,539.52 : 561,005.64 = 222,777 : x
  2. Step 2: Convert to fraction form
    406,539.52/561,005.64 = 222,777/x
  3. Step 3: Cross multiply
    406,539.52x = 561,005.64 × 222,777
  4. Step 4: Simplify right side
    406,539.52x = 124,979,153,462.28
  5. Step 5: Solve for x
    x = 124,979,153,462.28/406,539.52
  6. Step 6: Final answer
    x = 307,421.90

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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.