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Finding the Fourth Proportional to 535,286, 738,694.68 and 296,822

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Solution

The fourth proportional to 535,286, 738,694.68 and 296,822 is: 409,614.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,286 : 738,694.68 = 296,822 : x
  2. Step 2: Convert to fraction form
    535,286/738,694.68 = 296,822/x
  3. Step 3: Cross multiply
    535,286x = 738,694.68 × 296,822
  4. Step 4: Simplify right side
    535,286x = 219,260,832,306.96
  5. Step 5: Solve for x
    x = 219,260,832,306.96/535,286
  6. Step 6: Final answer
    x = 409,614.36

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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.