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Finding the Fourth Proportional to 406,536.51, 561,001.50 and 222,774

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Solution

The fourth proportional to 406,536.51, 561,001.50 and 222,774 is: 307,417.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,536.51 : 561,001.50 = 222,774 : x
  2. Step 2: Convert to fraction form
    406,536.51/561,001.50 = 222,774/x
  3. Step 3: Cross multiply
    406,536.51x = 561,001.50 × 222,774
  4. Step 4: Simplify right side
    406,536.51x = 124,976,548,161
  5. Step 5: Solve for x
    x = 124,976,548,161/406,536.51
  6. Step 6: Final answer
    x = 307,417.77

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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.