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Finding the Fourth Proportional to 422,190.96, 633,287.71 and 102,341.57

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Solution

The fourth proportional to 422,190.96, 633,287.71 and 102,341.57 is: 153,512.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,190.96 : 633,287.71 = 102,341.57 : x
  2. Step 2: Convert to fraction form
    422,190.96/633,287.71 = 102,341.57/x
  3. Step 3: Cross multiply
    422,190.96x = 633,287.71 × 102,341.57
  4. Step 4: Simplify right side
    422,190.96x = 64,811,658,503.10
  5. Step 5: Solve for x
    x = 64,811,658,503.10/422,190.96
  6. Step 6: Final answer
    x = 153,512.66

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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.