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Finding the Fourth Proportional to 338,801.28, 507,524.31 and 203,790.78

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Solution

The fourth proportional to 338,801.28, 507,524.31 and 203,790.78 is: 305,278.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,801.28 : 507,524.31 = 203,790.78 : x
  2. Step 2: Convert to fraction form
    338,801.28/507,524.31 = 203,790.78/x
  3. Step 3: Cross multiply
    338,801.28x = 507,524.31 × 203,790.78
  4. Step 4: Simplify right side
    338,801.28x = 103,428,775,003.86
  5. Step 5: Solve for x
    x = 103,428,775,003.86/338,801.28
  6. Step 6: Final answer
    x = 305,278.58

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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.