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Finding the Fourth Proportional to 546,945.20, 820,417.80 and 481,991.30

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Solution

The fourth proportional to 546,945.20, 820,417.80 and 481,991.30 is: 722,986.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,945.20 : 820,417.80 = 481,991.30 : x
  2. Step 2: Convert to fraction form
    546,945.20/820,417.80 = 481,991.30/x
  3. Step 3: Cross multiply
    546,945.20x = 820,417.80 × 481,991.30
  4. Step 4: Simplify right side
    546,945.20x = 395,434,241,965.14
  5. Step 5: Solve for x
    x = 395,434,241,965.14/546,945.20
  6. Step 6: Final answer
    x = 722,986.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.