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Finding the Fourth Proportional to 511,339.48, 705,672.50 and 284,986.60

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Solution

The fourth proportional to 511,339.48, 705,672.50 and 284,986.60 is: 393,294.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,339.48 : 705,672.50 = 284,986.60 : x
  2. Step 2: Convert to fraction form
    511,339.48/705,672.50 = 284,986.60/x
  3. Step 3: Cross multiply
    511,339.48x = 705,672.50 × 284,986.60
  4. Step 4: Simplify right side
    511,339.48x = 201,107,206,488.50
  5. Step 5: Solve for x
    x = 201,107,206,488.50/511,339.48
  6. Step 6: Final answer
    x = 393,294.89

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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.