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Finding the Fourth Proportional to 497,396.79, 686,408.45 and 271,042.29

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Solution

The fourth proportional to 497,396.79, 686,408.45 and 271,042.29 is: 374,038.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,396.79 : 686,408.45 = 271,042.29 : x
  2. Step 2: Convert to fraction form
    497,396.79/686,408.45 = 271,042.29/x
  3. Step 3: Cross multiply
    497,396.79x = 686,408.45 × 271,042.29
  4. Step 4: Simplify right side
    497,396.79x = 186,045,716,808.14
  5. Step 5: Solve for x
    x = 186,045,716,808.14/497,396.79
  6. Step 6: Final answer
    x = 374,038.84

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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.