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Finding the Fourth Proportional to 304,163.78, 419,748.72 and 168,206.87

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Solution

The fourth proportional to 304,163.78, 419,748.72 and 168,206.87 is: 232,126.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,163.78 : 419,748.72 = 168,206.87 : x
  2. Step 2: Convert to fraction form
    304,163.78/419,748.72 = 168,206.87/x
  3. Step 3: Cross multiply
    304,163.78x = 419,748.72 × 168,206.87
  4. Step 4: Simplify right side
    304,163.78x = 70,604,616,278.96
  5. Step 5: Solve for x
    x = 70,604,616,278.96/304,163.78
  6. Step 6: Final answer
    x = 232,126.97

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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.