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Finding the Fourth Proportional to 304,206, 456,309 and 82,590

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Solution

The fourth proportional to 304,206, 456,309 and 82,590 is: 123,885

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,206 : 456,309 = 82,590 : x
  2. Step 2: Convert to fraction form
    304,206/456,309 = 82,590/x
  3. Step 3: Cross multiply
    304,206x = 456,309 × 82,590
  4. Step 4: Simplify right side
    304,206x = 37,686,560,310
  5. Step 5: Solve for x
    x = 37,686,560,310/304,206
  6. Step 6: Final answer
    x = 123,885

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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.