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Finding the Fourth Proportional to 422,102.80, 632,616.60 and 172,502.80

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Solution

The fourth proportional to 422,102.80, 632,616.60 and 172,502.80 is: 258,534.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,102.80 : 632,616.60 = 172,502.80 : x
  2. Step 2: Convert to fraction form
    422,102.80/632,616.60 = 172,502.80/x
  3. Step 3: Cross multiply
    422,102.80x = 632,616.60 × 172,502.80
  4. Step 4: Simplify right side
    422,102.80x = 109,128,134,826.48
  5. Step 5: Solve for x
    x = 109,128,134,826.48/422,102.80
  6. Step 6: Final answer
    x = 258,534.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.