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Finding the Fourth Proportional to 386,083.44, 576,484.38 and 345,842.64

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Solution

The fourth proportional to 386,083.44, 576,484.38 and 345,842.64 is: 516,398.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,083.44 : 576,484.38 = 345,842.64 : x
  2. Step 2: Convert to fraction form
    386,083.44/576,484.38 = 345,842.64/x
  3. Step 3: Cross multiply
    386,083.44x = 576,484.38 × 345,842.64
  4. Step 4: Simplify right side
    386,083.44x = 199,372,879,897.96
  5. Step 5: Solve for x
    x = 199,372,879,897.96/386,083.44
  6. Step 6: Final answer
    x = 516,398.42

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.