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Finding the Fourth Proportional to 280,812, 421,218 and 83,820

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Solution

The fourth proportional to 280,812, 421,218 and 83,820 is: 125,730

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,812 : 421,218 = 83,820 : x
  2. Step 2: Convert to fraction form
    280,812/421,218 = 83,820/x
  3. Step 3: Cross multiply
    280,812x = 421,218 × 83,820
  4. Step 4: Simplify right side
    280,812x = 35,306,492,760
  5. Step 5: Solve for x
    x = 35,306,492,760/280,812
  6. Step 6: Final answer
    x = 125,730

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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.