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Finding the Fourth Proportional to 279,522.82, 385,738.14 and 152,198.38

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Solution

The fourth proportional to 279,522.82, 385,738.14 and 152,198.38 is: 210,031.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,522.82 : 385,738.14 = 152,198.38 : x
  2. Step 2: Convert to fraction form
    279,522.82/385,738.14 = 152,198.38/x
  3. Step 3: Cross multiply
    279,522.82x = 385,738.14 × 152,198.38
  4. Step 4: Simplify right side
    279,522.82x = 58,708,720,012.21
  5. Step 5: Solve for x
    x = 58,708,720,012.21/279,522.82
  6. Step 6: Final answer
    x = 210,031.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.