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Finding the Fourth Proportional to 546,768.20, 820,152.30 and 511,338.80

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Solution

The fourth proportional to 546,768.20, 820,152.30 and 511,338.80 is: 767,008.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,768.20 : 820,152.30 = 511,338.80 : x
  2. Step 2: Convert to fraction form
    546,768.20/820,152.30 = 511,338.80/x
  3. Step 3: Cross multiply
    546,768.20x = 820,152.30 × 511,338.80
  4. Step 4: Simplify right side
    546,768.20x = 419,375,692,899.24
  5. Step 5: Solve for x
    x = 419,375,692,899.24/546,768.20
  6. Step 6: Final answer
    x = 767,008.20

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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.