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Finding the Fourth Proportional to 284,029.46, 393,617.62 and 280,020.50

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Solution

The fourth proportional to 284,029.46, 393,617.62 and 280,020.50 is: 388,061.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,029.46 : 393,617.62 = 280,020.50 : x
  2. Step 2: Convert to fraction form
    284,029.46/393,617.62 = 280,020.50/x
  3. Step 3: Cross multiply
    284,029.46x = 393,617.62 × 280,020.50
  4. Step 4: Simplify right side
    284,029.46x = 110,221,001,361.11
  5. Step 5: Solve for x
    x = 110,221,001,361.11/284,029.46
  6. Step 6: Final answer
    x = 388,061.86

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1.5x scale

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.