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Finding the Fourth Proportional to 665,668, 998,304.96 and 192,357.76

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Solution

The fourth proportional to 665,668, 998,304.96 and 192,357.76 is: 288,479.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,668 : 998,304.96 = 192,357.76 : x
  2. Step 2: Convert to fraction form
    665,668/998,304.96 = 192,357.76/x
  3. Step 3: Cross multiply
    665,668x = 998,304.96 × 192,357.76
  4. Step 4: Simplify right side
    665,668x = 192,031,705,902.49
  5. Step 5: Solve for x
    x = 192,031,705,902.49/665,668
  6. Step 6: Final answer
    x = 288,479.70

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1.5x scale

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.