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Finding the Fourth Proportional to 520,185.96, 780,305.94 and 165,227.76

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Solution

The fourth proportional to 520,185.96, 780,305.94 and 165,227.76 is: 247,850.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,185.96 : 780,305.94 = 165,227.76 : x
  2. Step 2: Convert to fraction form
    520,185.96/780,305.94 = 165,227.76/x
  3. Step 3: Cross multiply
    520,185.96x = 780,305.94 × 165,227.76
  4. Step 4: Simplify right side
    520,185.96x = 128,928,202,580.89
  5. Step 5: Solve for x
    x = 128,928,202,580.89/520,185.96
  6. Step 6: Final answer
    x = 247,850.22

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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.