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Finding the Fourth Proportional to 565,798.26, 780,786.03 and 311,149.45

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Solution

The fourth proportional to 565,798.26, 780,786.03 and 311,149.45 is: 429,377.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,798.26 : 780,786.03 = 311,149.45 : x
  2. Step 2: Convert to fraction form
    565,798.26/780,786.03 = 311,149.45/x
  3. Step 3: Cross multiply
    565,798.26x = 780,786.03 × 311,149.45
  4. Step 4: Simplify right side
    565,798.26x = 242,941,145,944.98
  5. Step 5: Solve for x
    x = 242,941,145,944.98/565,798.26
  6. Step 6: Final answer
    x = 429,377.68

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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.