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Finding the Fourth Proportional to 331,337.13, 497,005.74 and 82,019.13

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Solution

The fourth proportional to 331,337.13, 497,005.74 and 82,019.13 is: 123,028.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,337.13 : 497,005.74 = 82,019.13 : x
  2. Step 2: Convert to fraction form
    331,337.13/497,005.74 = 82,019.13/x
  3. Step 3: Cross multiply
    331,337.13x = 497,005.74 × 82,019.13
  4. Step 4: Simplify right side
    331,337.13x = 40,763,978,399.81
  5. Step 5: Solve for x
    x = 40,763,978,399.81/331,337.13
  6. Step 6: Final answer
    x = 123,028.71

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1.5x scale

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.