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Finding the Fourth Proportional to 422,638.60, 583,240.04 and 231,651.40

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Solution

The fourth proportional to 422,638.60, 583,240.04 and 231,651.40 is: 319,678.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,638.60 : 583,240.04 = 231,651.40 : x
  2. Step 2: Convert to fraction form
    422,638.60/583,240.04 = 231,651.40/x
  3. Step 3: Cross multiply
    422,638.60x = 583,240.04 × 231,651.40
  4. Step 4: Simplify right side
    422,638.60x = 135,108,371,802.06
  5. Step 5: Solve for x
    x = 135,108,371,802.06/422,638.60
  6. Step 6: Final answer
    x = 319,678.26

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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.