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Finding the Fourth Proportional to 422,000.12, 633,055.76 and 137,590.80

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Solution

The fourth proportional to 422,000.12, 633,055.76 and 137,590.80 is: 206,404.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,000.12 : 633,055.76 = 137,590.80 : x
  2. Step 2: Convert to fraction form
    422,000.12/633,055.76 = 137,590.80/x
  3. Step 3: Cross multiply
    422,000.12x = 633,055.76 × 137,590.80
  4. Step 4: Simplify right side
    422,000.12x = 87,102,648,463.01
  5. Step 5: Solve for x
    x = 87,102,648,463.01/422,000.12
  6. Step 6: Final answer
    x = 206,404.32

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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.