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Finding the Fourth Proportional to 386,191.56, 579,208.16 and 146,222.68

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Solution

The fourth proportional to 386,191.56, 579,208.16 and 146,222.68 is: 219,304.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,191.56 : 579,208.16 = 146,222.68 : x
  2. Step 2: Convert to fraction form
    386,191.56/579,208.16 = 146,222.68/x
  3. Step 3: Cross multiply
    386,191.56x = 579,208.16 × 146,222.68
  4. Step 4: Simplify right side
    386,191.56x = 84,693,367,396.35
  5. Step 5: Solve for x
    x = 84,693,367,396.35/386,191.56
  6. Step 6: Final answer
    x = 219,304.03

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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.