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Finding the Fourth Proportional to 284,029.96, 393,618.31 and 280,021

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Solution

The fourth proportional to 284,029.96, 393,618.31 and 280,021 is: 388,062.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,029.96 : 393,618.31 = 280,021 : x
  2. Step 2: Convert to fraction form
    284,029.96/393,618.31 = 280,021/x
  3. Step 3: Cross multiply
    284,029.96x = 393,618.31 × 280,021
  4. Step 4: Simplify right side
    284,029.96x = 110,221,392,784.51
  5. Step 5: Solve for x
    x = 110,221,392,784.51/284,029.96
  6. Step 6: Final answer
    x = 388,062.56

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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.