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Finding the Fourth Proportional to 515,350.31, 711,202.43 and 311,361.81

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Solution

The fourth proportional to 515,350.31, 711,202.43 and 311,361.81 is: 429,690.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,350.31 : 711,202.43 = 311,361.81 : x
  2. Step 2: Convert to fraction form
    515,350.31/711,202.43 = 311,361.81/x
  3. Step 3: Cross multiply
    515,350.31x = 711,202.43 × 311,361.81
  4. Step 4: Simplify right side
    515,350.31x = 221,441,274,324.39
  5. Step 5: Solve for x
    x = 221,441,274,324.39/515,350.31
  6. Step 6: Final answer
    x = 429,690.78

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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.