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Finding the Fourth Proportional to 511,339.53, 705,672.58 and 284,986.65

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Solution

The fourth proportional to 511,339.53, 705,672.58 and 284,986.65 is: 393,294.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,339.53 : 705,672.58 = 284,986.65 : x
  2. Step 2: Convert to fraction form
    511,339.53/705,672.58 = 284,986.65/x
  3. Step 3: Cross multiply
    511,339.53x = 705,672.58 × 284,986.65
  4. Step 4: Simplify right side
    511,339.53x = 201,107,264,571.06
  5. Step 5: Solve for x
    x = 201,107,264,571.06/511,339.53
  6. Step 6: Final answer
    x = 393,294.97

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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.