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Finding the Fourth Proportional to 511,008.28, 705,213.22 and 284,653.88

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Solution

The fourth proportional to 511,008.28, 705,213.22 and 284,653.88 is: 392,834.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,008.28 : 705,213.22 = 284,653.88 : x
  2. Step 2: Convert to fraction form
    511,008.28/705,213.22 = 284,653.88/x
  3. Step 3: Cross multiply
    511,008.28x = 705,213.22 × 284,653.88
  4. Step 4: Simplify right side
    511,008.28x = 200,741,679,300.29
  5. Step 5: Solve for x
    x = 200,741,679,300.29/511,008.28
  6. Step 6: Final answer
    x = 392,834.49

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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.