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Finding the Fourth Proportional to 354,924.27, 489,788.82 and 201,959.01

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Solution

The fourth proportional to 354,924.27, 489,788.82 and 201,959.01 is: 278,699.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,924.27 : 489,788.82 = 201,959.01 : x
  2. Step 2: Convert to fraction form
    354,924.27/489,788.82 = 201,959.01/x
  3. Step 3: Cross multiply
    354,924.27x = 489,788.82 × 201,959.01
  4. Step 4: Simplify right side
    354,924.27x = 98,917,265,196.27
  5. Step 5: Solve for x
    x = 98,917,265,196.27/354,924.27
  6. Step 6: Final answer
    x = 278,699.64

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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.