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Finding the Fourth Proportional to 422,765.82, 583,401.35 and 231,775.02

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Solution

The fourth proportional to 422,765.82, 583,401.35 and 231,775.02 is: 319,841.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,765.82 : 583,401.35 = 231,775.02 : x
  2. Step 2: Convert to fraction form
    422,765.82/583,401.35 = 231,775.02/x
  3. Step 3: Cross multiply
    422,765.82x = 583,401.35 × 231,775.02
  4. Step 4: Simplify right side
    422,765.82x = 135,217,859,564.28
  5. Step 5: Solve for x
    x = 135,217,859,564.28/422,765.82
  6. Step 6: Final answer
    x = 319,841.04

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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.