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Finding the Fourth Proportional to 520,816.86, 718,747.70 and 305,955.05

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Solution

The fourth proportional to 520,816.86, 718,747.70 and 305,955.05 is: 422,229.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,816.86 : 718,747.70 = 305,955.05 : x
  2. Step 2: Convert to fraction form
    520,816.86/718,747.70 = 305,955.05/x
  3. Step 3: Cross multiply
    520,816.86x = 718,747.70 × 305,955.05
  4. Step 4: Simplify right side
    520,816.86x = 219,904,483,367.37
  5. Step 5: Solve for x
    x = 219,904,483,367.37/520,816.86
  6. Step 6: Final answer
    x = 422,229.96

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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.