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Finding the Fourth Proportional to 422,892.72, 583,599.96 and 231,894.72

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Solution

The fourth proportional to 422,892.72, 583,599.96 and 231,894.72 is: 320,019.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,892.72 : 583,599.96 = 231,894.72 : x
  2. Step 2: Convert to fraction form
    422,892.72/583,599.96 = 231,894.72/x
  3. Step 3: Cross multiply
    422,892.72x = 583,599.96 × 231,894.72
  4. Step 4: Simplify right side
    422,892.72x = 135,333,749,316.21
  5. Step 5: Solve for x
    x = 135,333,749,316.21/422,892.72
  6. Step 6: Final answer
    x = 320,019.10

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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.