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Finding the Fourth Proportional to 255,321.90, 382,982.85 and 217,268.10

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Solution

The fourth proportional to 255,321.90, 382,982.85 and 217,268.10 is: 325,902.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,321.90 : 382,982.85 = 217,268.10 : x
  2. Step 2: Convert to fraction form
    255,321.90/382,982.85 = 217,268.10/x
  3. Step 3: Cross multiply
    255,321.90x = 382,982.85 × 217,268.10
  4. Step 4: Simplify right side
    255,321.90x = 83,209,956,152.09
  5. Step 5: Solve for x
    x = 83,209,956,152.09/255,321.90
  6. Step 6: Final answer
    x = 325,902.15

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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.