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Finding the Fourth Proportional to 565,682.28, 780,644.52 and 311,049.96

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Solution

The fourth proportional to 565,682.28, 780,644.52 and 311,049.96 is: 429,250.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,682.28 : 780,644.52 = 311,049.96 : x
  2. Step 2: Convert to fraction form
    565,682.28/780,644.52 = 311,049.96/x
  3. Step 3: Cross multiply
    565,682.28x = 780,644.52 × 311,049.96
  4. Step 4: Simplify right side
    565,682.28x = 242,819,446,720.22
  5. Step 5: Solve for x
    x = 242,819,446,720.22/565,682.28
  6. Step 6: Final answer
    x = 429,250.58

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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.