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Finding the Fourth Proportional to 497,663.34, 686,771.91 and 271,310.46

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Solution

The fourth proportional to 497,663.34, 686,771.91 and 271,310.46 is: 374,406.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,663.34 : 686,771.91 = 271,310.46 : x
  2. Step 2: Convert to fraction form
    497,663.34/686,771.91 = 271,310.46/x
  3. Step 3: Cross multiply
    497,663.34x = 686,771.91 × 271,310.46
  4. Step 4: Simplify right side
    497,663.34x = 186,328,402,817.18
  5. Step 5: Solve for x
    x = 186,328,402,817.18/497,663.34
  6. Step 6: Final answer
    x = 374,406.53

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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.