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Finding the Fourth Proportional to 546,995.09, 820,067.79 and 354,462.80

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Solution

The fourth proportional to 546,995.09, 820,067.79 and 354,462.80 is: 531,418.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,995.09 : 820,067.79 = 354,462.80 : x
  2. Step 2: Convert to fraction form
    546,995.09/820,067.79 = 354,462.80/x
  3. Step 3: Cross multiply
    546,995.09x = 820,067.79 × 354,462.80
  4. Step 4: Simplify right side
    546,995.09x = 290,683,520,932.87
  5. Step 5: Solve for x
    x = 290,683,520,932.87/546,995.09
  6. Step 6: Final answer
    x = 531,418.89

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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.