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Finding the Fourth Proportional to 422,906,939.16, 634,390,983 and 177,016,274.34

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Solution

The fourth proportional to 422,906,939.16, 634,390,983 and 177,016,274.34 is: 265,537,208.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,906,939.16 : 634,390,983 = 177,016,274.34 : x
  2. Step 2: Convert to fraction form
    422,906,939.16/634,390,983 = 177,016,274.34/x
  3. Step 3: Cross multiply
    422,906,939.16x = 634,390,983 × 177,016,274.34
  4. Step 4: Simplify right side
    422,906,939.16x = 112,297,528,285,550,272
  5. Step 5: Solve for x
    x = 112,297,528,285,550,272/422,906,939.16
  6. Step 6: Final answer
    x = 265,537,208.99

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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.