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Finding the Fourth Proportional to 390,161.33, 585,241.99 and 109,678.58

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Solution

The fourth proportional to 390,161.33, 585,241.99 and 109,678.58 is: 164,517.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,161.33 : 585,241.99 = 109,678.58 : x
  2. Step 2: Convert to fraction form
    390,161.33/585,241.99 = 109,678.58/x
  3. Step 3: Cross multiply
    390,161.33x = 585,241.99 × 109,678.58
  4. Step 4: Simplify right side
    390,161.33x = 64,188,510,419.57
  5. Step 5: Solve for x
    x = 64,188,510,419.57/390,161.33
  6. Step 6: Final answer
    x = 164,517.87

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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.