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Finding the Fourth Proportional to 422,489.80, 633,830.70 and 142,035.40

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Solution

The fourth proportional to 422,489.80, 633,830.70 and 142,035.40 is: 213,085.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,489.80 : 633,830.70 = 142,035.40 : x
  2. Step 2: Convert to fraction form
    422,489.80/633,830.70 = 142,035.40/x
  3. Step 3: Cross multiply
    422,489.80x = 633,830.70 × 142,035.40
  4. Step 4: Simplify right side
    422,489.80x = 90,026,397,006.78
  5. Step 5: Solve for x
    x = 90,026,397,006.78/422,489.80
  6. Step 6: Final answer
    x = 213,085.37

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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.