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Finding the Fourth Proportional to 565,811.84, 780,804.76 and 311,163

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Solution

The fourth proportional to 565,811.84, 780,804.76 and 311,163 is: 429,396.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,811.84 : 780,804.76 = 311,163 : x
  2. Step 2: Convert to fraction form
    565,811.84/780,804.76 = 311,163/x
  3. Step 3: Cross multiply
    565,811.84x = 780,804.76 × 311,163
  4. Step 4: Simplify right side
    565,811.84x = 242,957,551,535.88
  5. Step 5: Solve for x
    x = 242,957,551,535.88/565,811.84
  6. Step 6: Final answer
    x = 429,396.37

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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.