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Finding the Fourth Proportional to 516,865.19, 775,297.31 and 161,906.90

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Solution

The fourth proportional to 516,865.19, 775,297.31 and 161,906.90 is: 242,860.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,865.19 : 775,297.31 = 161,906.90 : x
  2. Step 2: Convert to fraction form
    516,865.19/775,297.31 = 161,906.90/x
  3. Step 3: Cross multiply
    516,865.19x = 775,297.31 × 161,906.90
  4. Step 4: Simplify right side
    516,865.19x = 125,525,979,354.42
  5. Step 5: Solve for x
    x = 125,525,979,354.42/516,865.19
  6. Step 6: Final answer
    x = 242,860.19

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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.