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Finding the Fourth Proportional to 428,745.33, 643,118.00 and 148,109.49

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Solution

The fourth proportional to 428,745.33, 643,118.00 and 148,109.49 is: 222,164.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,745.33 : 643,118.00 = 148,109.49 : x
  2. Step 2: Convert to fraction form
    428,745.33/643,118.00 = 148,109.49/x
  3. Step 3: Cross multiply
    428,745.33x = 643,118.00 × 148,109.49
  4. Step 4: Simplify right side
    428,745.33x = 95,251,878,249.27
  5. Step 5: Solve for x
    x = 95,251,878,249.27/428,745.33
  6. Step 6: Final answer
    x = 222,164.24

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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.