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Finding the Fourth Proportional to 427,626.30, 590,084.22 and 255,510

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Solution

The fourth proportional to 427,626.30, 590,084.22 and 255,510 is: 352,579.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,626.30 : 590,084.22 = 255,510 : x
  2. Step 2: Convert to fraction form
    427,626.30/590,084.22 = 255,510/x
  3. Step 3: Cross multiply
    427,626.30x = 590,084.22 × 255,510
  4. Step 4: Simplify right side
    427,626.30x = 150,772,419,052.20
  5. Step 5: Solve for x
    x = 150,772,419,052.20/427,626.30
  6. Step 6: Final answer
    x = 352,579.86

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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.