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Finding the Fourth Proportional to 405,781.48, 559,978.02 and 226,933.48

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Solution

The fourth proportional to 405,781.48, 559,978.02 and 226,933.48 is: 313,167.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,781.48 : 559,978.02 = 226,933.48 : x
  2. Step 2: Convert to fraction form
    405,781.48/559,978.02 = 226,933.48/x
  3. Step 3: Cross multiply
    405,781.48x = 559,978.02 × 226,933.48
  4. Step 4: Simplify right side
    405,781.48x = 127,077,760,802.11
  5. Step 5: Solve for x
    x = 127,077,760,802.11/405,781.48
  6. Step 6: Final answer
    x = 313,167.97

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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.