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Finding the Fourth Proportional to 408,101.67, 612,153.90 and 141,864.39

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Solution

The fourth proportional to 408,101.67, 612,153.90 and 141,864.39 is: 212,797.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,101.67 : 612,153.90 = 141,864.39 : x
  2. Step 2: Convert to fraction form
    408,101.67/612,153.90 = 141,864.39/x
  3. Step 3: Cross multiply
    408,101.67x = 612,153.90 × 141,864.39
  4. Step 4: Simplify right side
    408,101.67x = 86,842,839,609.62
  5. Step 5: Solve for x
    x = 86,842,839,609.62/408,101.67
  6. Step 6: Final answer
    x = 212,797.07

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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.