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Finding the Fourth Proportional to 422,988.20, 583,745.10 and 232,019.36

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Solution

The fourth proportional to 422,988.20, 583,745.10 and 232,019.36 is: 320,198.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,988.20 : 583,745.10 = 232,019.36 : x
  2. Step 2: Convert to fraction form
    422,988.20/583,745.10 = 232,019.36/x
  3. Step 3: Cross multiply
    422,988.20x = 583,745.10 × 232,019.36
  4. Step 4: Simplify right side
    422,988.20x = 135,440,164,505.14
  5. Step 5: Solve for x
    x = 135,440,164,505.14/422,988.20
  6. Step 6: Final answer
    x = 320,198.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.