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Finding the Fourth Proportional to 422,963.20, 583,383.20 and 359,200

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Solution

The fourth proportional to 422,963.20, 583,383.20 and 359,200 is: 495,436.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,963.20 : 583,383.20 = 359,200 : x
  2. Step 2: Convert to fraction form
    422,963.20/583,383.20 = 359,200/x
  3. Step 3: Cross multiply
    422,963.20x = 583,383.20 × 359,200
  4. Step 4: Simplify right side
    422,963.20x = 209,551,245,440.00
  5. Step 5: Solve for x
    x = 209,551,245,440.00/422,963.20
  6. Step 6: Final answer
    x = 495,436.12

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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.