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Finding the Fourth Proportional to 497,735.82, 686,876.16 and 271,381.32

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Solution

The fourth proportional to 497,735.82, 686,876.16 and 271,381.32 is: 374,506.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,735.82 : 686,876.16 = 271,381.32 : x
  2. Step 2: Convert to fraction form
    497,735.82/686,876.16 = 271,381.32/x
  3. Step 3: Cross multiply
    497,735.82x = 686,876.16 × 271,381.32
  4. Step 4: Simplify right side
    497,735.82x = 186,405,358,977.33
  5. Step 5: Solve for x
    x = 186,405,358,977.33/497,735.82
  6. Step 6: Final answer
    x = 374,506.62

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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.