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Finding the Fourth Proportional to 565,479.66, 780,322.11 and 310,847.34

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Solution

The fourth proportional to 565,479.66, 780,322.11 and 310,847.34 is: 428,947.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,479.66 : 780,322.11 = 310,847.34 : x
  2. Step 2: Convert to fraction form
    565,479.66/780,322.11 = 310,847.34/x
  3. Step 3: Cross multiply
    565,479.66x = 780,322.11 × 310,847.34
  4. Step 4: Simplify right side
    565,479.66x = 242,561,052,236.69
  5. Step 5: Solve for x
    x = 242,561,052,236.69/565,479.66
  6. Step 6: Final answer
    x = 428,947.44

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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.