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Finding the Fourth Proportional to 565,770.56, 780,768.96 and 311,123.52

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Solution

The fourth proportional to 565,770.56, 780,768.96 and 311,123.52 is: 429,353.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,770.56 : 780,768.96 = 311,123.52 : x
  2. Step 2: Convert to fraction form
    565,770.56/780,768.96 = 311,123.52/x
  3. Step 3: Cross multiply
    565,770.56x = 780,768.96 × 311,123.52
  4. Step 4: Simplify right side
    565,770.56x = 242,915,587,141.94
  5. Step 5: Solve for x
    x = 242,915,587,141.94/565,770.56
  6. Step 6: Final answer
    x = 429,353.53

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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.