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Finding the Fourth Proportional to 354,790.89, 489,618.95 and 201,824.01

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Solution

The fourth proportional to 354,790.89, 489,618.95 and 201,824.01 is: 278,521.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,790.89 : 489,618.95 = 201,824.01 : x
  2. Step 2: Convert to fraction form
    354,790.89/489,618.95 = 201,824.01/x
  3. Step 3: Cross multiply
    354,790.89x = 489,618.95 × 201,824.01
  4. Step 4: Simplify right side
    354,790.89x = 98,816,858,851.87
  5. Step 5: Solve for x
    x = 98,816,858,851.87/354,790.89
  6. Step 6: Final answer
    x = 278,521.41

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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.