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Finding the Fourth Proportional to 520,684.72, 780,468.18 and 220,912.36

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Solution

The fourth proportional to 520,684.72, 780,468.18 and 220,912.36 is: 331,131.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,684.72 : 780,468.18 = 220,912.36 : x
  2. Step 2: Convert to fraction form
    520,684.72/780,468.18 = 220,912.36/x
  3. Step 3: Cross multiply
    520,684.72x = 780,468.18 × 220,912.36
  4. Step 4: Simplify right side
    520,684.72x = 172,415,067,548.71
  5. Step 5: Solve for x
    x = 172,415,067,548.71/520,684.72
  6. Step 6: Final answer
    x = 331,131.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.