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Finding the Fourth Proportional to 329,459.40, 494,735.67 and 205,587.72

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Solution

The fourth proportional to 329,459.40, 494,735.67 and 205,587.72 is: 308,722.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,459.40 : 494,735.67 = 205,587.72 : x
  2. Step 2: Convert to fraction form
    329,459.40/494,735.67 = 205,587.72/x
  3. Step 3: Cross multiply
    329,459.40x = 494,735.67 × 205,587.72
  4. Step 4: Simplify right side
    329,459.40x = 101,711,578,397.97
  5. Step 5: Solve for x
    x = 101,711,578,397.97/329,459.40
  6. Step 6: Final answer
    x = 308,722.65

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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.