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Finding the Fourth Proportional to 565,770.52, 780,763.56 and 311,121.71

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Solution

The fourth proportional to 565,770.52, 780,763.56 and 311,121.71 is: 429,348.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,770.52 : 780,763.56 = 311,121.71 : x
  2. Step 2: Convert to fraction form
    565,770.52/780,763.56 = 311,121.71/x
  3. Step 3: Cross multiply
    565,770.52x = 780,763.56 × 311,121.71
  4. Step 4: Simplify right side
    565,770.52x = 242,912,491,750.23
  5. Step 5: Solve for x
    x = 242,912,491,750.23/565,770.52
  6. Step 6: Final answer
    x = 429,348.09

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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.