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Finding the Fourth Proportional to 516,928.38, 775,391.76 and 161,969.64

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Solution

The fourth proportional to 516,928.38, 775,391.76 and 161,969.64 is: 242,954.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,928.38 : 775,391.76 = 161,969.64 : x
  2. Step 2: Convert to fraction form
    516,928.38/775,391.76 = 161,969.64/x
  3. Step 3: Cross multiply
    516,928.38x = 775,391.76 × 161,969.64
  4. Step 4: Simplify right side
    516,928.38x = 125,589,924,226.17
  5. Step 5: Solve for x
    x = 125,589,924,226.17/516,928.38
  6. Step 6: Final answer
    x = 242,954.21

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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.