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Finding the Fourth Proportional to 414,092.43, 621,925.97 and 257,415.75

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Solution

The fourth proportional to 414,092.43, 621,925.97 and 257,415.75 is: 386,613.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,092.43 : 621,925.97 = 257,415.75 : x
  2. Step 2: Convert to fraction form
    414,092.43/621,925.97 = 257,415.75/x
  3. Step 3: Cross multiply
    414,092.43x = 621,925.97 × 257,415.75
  4. Step 4: Simplify right side
    414,092.43x = 160,093,538,724.95
  5. Step 5: Solve for x
    x = 160,093,538,724.95/414,092.43
  6. Step 6: Final answer
    x = 386,613.05

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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.