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Finding the Fourth Proportional to 565,384.89, 780,198.15 and 310,736.28

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Solution

The fourth proportional to 565,384.89, 780,198.15 and 310,736.28 is: 428,797.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,384.89 : 780,198.15 = 310,736.28 : x
  2. Step 2: Convert to fraction form
    565,384.89/780,198.15 = 310,736.28/x
  3. Step 3: Cross multiply
    565,384.89x = 780,198.15 × 310,736.28
  4. Step 4: Simplify right side
    565,384.89x = 242,435,870,793.88
  5. Step 5: Solve for x
    x = 242,435,870,793.88/565,384.89
  6. Step 6: Final answer
    x = 428,797.93

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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.