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Finding the Fourth Proportional to 497,375.79, 686,379.47 and 271,021.29

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Solution

The fourth proportional to 497,375.79, 686,379.47 and 271,021.29 is: 374,009.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,375.79 : 686,379.47 = 271,021.29 : x
  2. Step 2: Convert to fraction form
    497,375.79/686,379.47 = 271,021.29/x
  3. Step 3: Cross multiply
    497,375.79x = 686,379.47 × 271,021.29
  4. Step 4: Simplify right side
    497,375.79x = 186,023,448,033.81
  5. Step 5: Solve for x
    x = 186,023,448,033.81/497,375.79
  6. Step 6: Final answer
    x = 374,009.86

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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.