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Finding the Fourth Proportional to 386,132.44, 576,557.51 and 345,891.64

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Solution

The fourth proportional to 386,132.44, 576,557.51 and 345,891.64 is: 516,471.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,132.44 : 576,557.51 = 345,891.64 : x
  2. Step 2: Convert to fraction form
    386,132.44/576,557.51 = 345,891.64/x
  3. Step 3: Cross multiply
    386,132.44x = 576,557.51 × 345,891.64
  4. Step 4: Simplify right side
    386,132.44x = 199,426,422,688.22
  5. Step 5: Solve for x
    x = 199,426,422,688.22/386,132.44
  6. Step 6: Final answer
    x = 516,471.56

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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.