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Finding the Fourth Proportional to 565,806.33, 780,797.16 and 311,157.52

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Solution

The fourth proportional to 565,806.33, 780,797.16 and 311,157.52 is: 429,388.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,806.33 : 780,797.16 = 311,157.52 : x
  2. Step 2: Convert to fraction form
    565,806.33/780,797.16 = 311,157.52/x
  3. Step 3: Cross multiply
    565,806.33x = 780,797.16 × 311,157.52
  4. Step 4: Simplify right side
    565,806.33x = 242,950,905,976.65
  5. Step 5: Solve for x
    x = 242,950,905,976.65/565,806.33
  6. Step 6: Final answer
    x = 429,388.81

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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.