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Finding the Fourth Proportional to 290,026,906.40, 435,040,359.60 and 167,414,938.40

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Solution

The fourth proportional to 290,026,906.40, 435,040,359.60 and 167,414,938.40 is: 251,122,407.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,026,906.40 : 435,040,359.60 = 167,414,938.40 : x
  2. Step 2: Convert to fraction form
    290,026,906.40/435,040,359.60 = 167,414,938.40/x
  3. Step 3: Cross multiply
    290,026,906.40x = 435,040,359.60 × 167,414,938.40
  4. Step 4: Simplify right side
    290,026,906.40x = 72,832,255,003,947,856
  5. Step 5: Solve for x
    x = 72,832,255,003,947,856/290,026,906.40
  6. Step 6: Final answer
    x = 251,122,407.60

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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.