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Finding the Fourth Proportional to 338,781.76, 507,990.84 and 114,067.24

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Solution

The fourth proportional to 338,781.76, 507,990.84 and 114,067.24 is: 171,039.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,781.76 : 507,990.84 = 114,067.24 : x
  2. Step 2: Convert to fraction form
    338,781.76/507,990.84 = 114,067.24/x
  3. Step 3: Cross multiply
    338,781.76x = 507,990.84 × 114,067.24
  4. Step 4: Simplify right side
    338,781.76x = 57,945,113,064.08
  5. Step 5: Solve for x
    x = 57,945,113,064.08/338,781.76
  6. Step 6: Final answer
    x = 171,039.65

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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.