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Finding the Fourth Proportional to 565,577.68, 780,467.16 and 310,879.92

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Solution

The fourth proportional to 565,577.68, 780,467.16 and 310,879.92 is: 428,997.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,577.68 : 780,467.16 = 310,879.92 : x
  2. Step 2: Convert to fraction form
    565,577.68/780,467.16 = 310,879.92/x
  3. Step 3: Cross multiply
    565,577.68x = 780,467.16 × 310,879.92
  4. Step 4: Simplify right side
    565,577.68x = 242,631,568,263.43
  5. Step 5: Solve for x
    x = 242,631,568,263.43/565,577.68
  6. Step 6: Final answer
    x = 428,997.78

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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.