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Finding the Fourth Proportional to 423,188.74, 634,824.02 and 123,662.49

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Solution

The fourth proportional to 423,188.74, 634,824.02 and 123,662.49 is: 185,505.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,188.74 : 634,824.02 = 123,662.49 : x
  2. Step 2: Convert to fraction form
    423,188.74/634,824.02 = 123,662.49/x
  3. Step 3: Cross multiply
    423,188.74x = 634,824.02 × 123,662.49
  4. Step 4: Simplify right side
    423,188.74x = 78,503,919,025.01
  5. Step 5: Solve for x
    x = 78,503,919,025.01/423,188.74
  6. Step 6: Final answer
    x = 185,505.69

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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.