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Finding the Fourth Proportional to 542,821.80, 814,232.70 and 492,958.20

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Solution

The fourth proportional to 542,821.80, 814,232.70 and 492,958.20 is: 739,437.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,821.80 : 814,232.70 = 492,958.20 : x
  2. Step 2: Convert to fraction form
    542,821.80/814,232.70 = 492,958.20/x
  3. Step 3: Cross multiply
    542,821.80x = 814,232.70 × 492,958.20
  4. Step 4: Simplify right side
    542,821.80x = 401,382,686,173.14
  5. Step 5: Solve for x
    x = 401,382,686,173.14/542,821.80
  6. Step 6: Final answer
    x = 739,437.30

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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.