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Finding the Fourth Proportional to 422,909.57, 634,457.77 and 209,793.40

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Solution

The fourth proportional to 422,909.57, 634,457.77 and 209,793.40 is: 314,736.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,909.57 : 634,457.77 = 209,793.40 : x
  2. Step 2: Convert to fraction form
    422,909.57/634,457.77 = 209,793.40/x
  3. Step 3: Cross multiply
    422,909.57x = 634,457.77 × 209,793.40
  4. Step 4: Simplify right side
    422,909.57x = 133,105,056,550.23
  5. Step 5: Solve for x
    x = 133,105,056,550.23/422,909.57
  6. Step 6: Final answer
    x = 314,736.45

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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.