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Finding the Fourth Proportional to 602,731.39, 831,708.75 and 361,007.75

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Solution

The fourth proportional to 602,731.39, 831,708.75 and 361,007.75 is: 498,154.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,731.39 : 831,708.75 = 361,007.75 : x
  2. Step 2: Convert to fraction form
    602,731.39/831,708.75 = 361,007.75/x
  3. Step 3: Cross multiply
    602,731.39x = 831,708.75 × 361,007.75
  4. Step 4: Simplify right side
    602,731.39x = 300,253,304,163.27
  5. Step 5: Solve for x
    x = 300,253,304,163.27/602,731.39
  6. Step 6: Final answer
    x = 498,154.42

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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.