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Finding the Fourth Proportional to 497,374.29, 686,377.40 and 271,019.79

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Solution

The fourth proportional to 497,374.29, 686,377.40 and 271,019.79 is: 374,007.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,374.29 : 686,377.40 = 271,019.79 : x
  2. Step 2: Convert to fraction form
    497,374.29/686,377.40 = 271,019.79/x
  3. Step 3: Cross multiply
    497,374.29x = 686,377.40 × 271,019.79
  4. Step 4: Simplify right side
    497,374.29x = 186,021,857,453.65
  5. Step 5: Solve for x
    x = 186,021,857,453.65/497,374.29
  6. Step 6: Final answer
    x = 374,007.79

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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.