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Finding the Fourth Proportional to 422,707.50, 634,050.09 and 123,270.72

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Solution

The fourth proportional to 422,707.50, 634,050.09 and 123,270.72 is: 184,902.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,707.50 : 634,050.09 = 123,270.72 : x
  2. Step 2: Convert to fraction form
    422,707.50/634,050.09 = 123,270.72/x
  3. Step 3: Cross multiply
    422,707.50x = 634,050.09 × 123,270.72
  4. Step 4: Simplify right side
    422,707.50x = 78,159,811,110.36
  5. Step 5: Solve for x
    x = 78,159,811,110.36/422,707.50
  6. Step 6: Final answer
    x = 184,902.83

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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.