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Finding the Fourth Proportional to 354,589.81, 489,314.00 and 201,665.20

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Solution

The fourth proportional to 354,589.81, 489,314.00 and 201,665.20 is: 278,286.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,589.81 : 489,314.00 = 201,665.20 : x
  2. Step 2: Convert to fraction form
    354,589.81/489,314.00 = 201,665.20/x
  3. Step 3: Cross multiply
    354,589.81x = 489,314.00 × 201,665.20
  4. Step 4: Simplify right side
    354,589.81x = 98,677,605,871.14
  5. Step 5: Solve for x
    x = 98,677,605,871.14/354,589.81
  6. Step 6: Final answer
    x = 278,286.64

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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.