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Finding the Fourth Proportional to 491,593.81, 678,412.01 and 276,741.42

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Solution

The fourth proportional to 491,593.81, 678,412.01 and 276,741.42 is: 381,910.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,593.81 : 678,412.01 = 276,741.42 : x
  2. Step 2: Convert to fraction form
    491,593.81/678,412.01 = 276,741.42/x
  3. Step 3: Cross multiply
    491,593.81x = 678,412.01 × 276,741.42
  4. Step 4: Simplify right side
    491,593.81x = 187,744,702,992.45
  5. Step 5: Solve for x
    x = 187,744,702,992.45/491,593.81
  6. Step 6: Final answer
    x = 381,910.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.