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Finding the Fourth Proportional to 565,704.75, 780,694.43 and 311,050.47

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Solution

The fourth proportional to 565,704.75, 780,694.43 and 311,050.47 is: 429,261.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,704.75 : 780,694.43 = 311,050.47 : x
  2. Step 2: Convert to fraction form
    565,704.75/780,694.43 = 311,050.47/x
  3. Step 3: Cross multiply
    565,704.75x = 780,694.43 × 311,050.47
  4. Step 4: Simplify right side
    565,704.75x = 242,835,367,822.63
  5. Step 5: Solve for x
    x = 242,835,367,822.63/565,704.75
  6. Step 6: Final answer
    x = 429,261.67

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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.