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Finding the Fourth Proportional to 497,763.42, 686,914.20 and 271,408.92

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Solution

The fourth proportional to 497,763.42, 686,914.20 and 271,408.92 is: 374,544.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,763.42 : 686,914.20 = 271,408.92 : x
  2. Step 2: Convert to fraction form
    497,763.42/686,914.20 = 271,408.92/x
  3. Step 3: Cross multiply
    497,763.42x = 686,914.20 × 271,408.92
  4. Step 4: Simplify right side
    497,763.42x = 186,434,641,154.66
  5. Step 5: Solve for x
    x = 186,434,641,154.66/497,763.42
  6. Step 6: Final answer
    x = 374,544.68

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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.