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Finding the Fourth Proportional to 486,419, 671,245.14 and 271,553

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Solution

The fourth proportional to 486,419, 671,245.14 and 271,553 is: 374,735.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,419 : 671,245.14 = 271,553 : x
  2. Step 2: Convert to fraction form
    486,419/671,245.14 = 271,553/x
  3. Step 3: Cross multiply
    486,419x = 671,245.14 × 271,553
  4. Step 4: Simplify right side
    486,419x = 182,278,631,502.42
  5. Step 5: Solve for x
    x = 182,278,631,502.42/486,419
  6. Step 6: Final answer
    x = 374,735.84

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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.