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Finding the Fourth Proportional to 565,614.93, 780,327.78 and 323,768.27

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Solution

The fourth proportional to 565,614.93, 780,327.78 and 323,768.27 is: 446,673.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,614.93 : 780,327.78 = 323,768.27 : x
  2. Step 2: Convert to fraction form
    565,614.93/780,327.78 = 323,768.27/x
  3. Step 3: Cross multiply
    565,614.93x = 780,327.78 × 323,768.27
  4. Step 4: Simplify right side
    565,614.93x = 252,645,376,100.23
  5. Step 5: Solve for x
    x = 252,645,376,100.23/565,614.93
  6. Step 6: Final answer
    x = 446,673.81

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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.