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Finding the Fourth Proportional to 331,817.40, 497,726.10 and 82,499.40

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Solution

The fourth proportional to 331,817.40, 497,726.10 and 82,499.40 is: 123,749.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,817.40 : 497,726.10 = 82,499.40 : x
  2. Step 2: Convert to fraction form
    331,817.40/497,726.10 = 82,499.40/x
  3. Step 3: Cross multiply
    331,817.40x = 497,726.10 × 82,499.40
  4. Step 4: Simplify right side
    331,817.40x = 41,062,104,614.34
  5. Step 5: Solve for x
    x = 41,062,104,614.34/331,817.40
  6. Step 6: Final answer
    x = 123,749.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.