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Finding the Fourth Proportional to 338,618.64, 507,922.79 and 82,453.61

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Solution

The fourth proportional to 338,618.64, 507,922.79 and 82,453.61 is: 123,679.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,618.64 : 507,922.79 = 82,453.61 : x
  2. Step 2: Convert to fraction form
    338,618.64/507,922.79 = 82,453.61/x
  3. Step 3: Cross multiply
    338,618.64x = 507,922.79 × 82,453.61
  4. Step 4: Simplify right side
    338,618.64x = 41,880,064,684.89
  5. Step 5: Solve for x
    x = 41,880,064,684.89/338,618.64
  6. Step 6: Final answer
    x = 123,679.15

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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.