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Finding the Fourth Proportional to 497,470.90, 686,507.25 and 271,114.42

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Solution

The fourth proportional to 497,470.90, 686,507.25 and 271,114.42 is: 374,136.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,470.90 : 686,507.25 = 271,114.42 : x
  2. Step 2: Convert to fraction form
    497,470.90/686,507.25 = 271,114.42/x
  3. Step 3: Cross multiply
    497,470.90x = 686,507.25 × 271,114.42
  4. Step 4: Simplify right side
    497,470.90x = 186,122,014,909.55
  5. Step 5: Solve for x
    x = 186,122,014,909.55/497,470.90
  6. Step 6: Final answer
    x = 374,136.49

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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.