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Finding the Fourth Proportional to 284,028.96, 393,616.92 and 280,020

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Solution

The fourth proportional to 284,028.96, 393,616.92 and 280,020 is: 388,061.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,028.96 : 393,616.92 = 280,020 : x
  2. Step 2: Convert to fraction form
    284,028.96/393,616.92 = 280,020/x
  3. Step 3: Cross multiply
    284,028.96x = 393,616.92 × 280,020
  4. Step 4: Simplify right side
    284,028.96x = 110,220,609,938.40
  5. Step 5: Solve for x
    x = 110,220,609,938.40/284,028.96
  6. Step 6: Final answer
    x = 388,061.17

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.