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Finding the Fourth Proportional to 459,383.97, 689,021.28 and 122,449.89

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Solution

The fourth proportional to 459,383.97, 689,021.28 and 122,449.89 is: 183,660.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,383.97 : 689,021.28 = 122,449.89 : x
  2. Step 2: Convert to fraction form
    459,383.97/689,021.28 = 122,449.89/x
  3. Step 3: Cross multiply
    459,383.97x = 689,021.28 × 122,449.89
  4. Step 4: Simplify right side
    459,383.97x = 84,370,579,943.66
  5. Step 5: Solve for x
    x = 84,370,579,943.66/459,383.97
  6. Step 6: Final answer
    x = 183,660.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.