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Finding the Fourth Proportional to 331,359, 497,038.50 and 82,041

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Solution

The fourth proportional to 331,359, 497,038.50 and 82,041 is: 123,061.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,359 : 497,038.50 = 82,041 : x
  2. Step 2: Convert to fraction form
    331,359/497,038.50 = 82,041/x
  3. Step 3: Cross multiply
    331,359x = 497,038.50 × 82,041
  4. Step 4: Simplify right side
    331,359x = 40,777,535,578.50
  5. Step 5: Solve for x
    x = 40,777,535,578.50/331,359
  6. Step 6: Final answer
    x = 123,061.50

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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.