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Finding the Fourth Proportional to 220,383, 304,129.62 and 119,781

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Solution

The fourth proportional to 220,383, 304,129.62 and 119,781 is: 165,298.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,383 : 304,129.62 = 119,781 : x
  2. Step 2: Convert to fraction form
    220,383/304,129.62 = 119,781/x
  3. Step 3: Cross multiply
    220,383x = 304,129.62 × 119,781
  4. Step 4: Simplify right side
    220,383x = 36,428,950,013.22
  5. Step 5: Solve for x
    x = 36,428,950,013.22/220,383
  6. Step 6: Final answer
    x = 165,298.37

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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.