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Finding the Fourth Proportional to 278,328,954.40, 417,493,431.60 and 169,489,837.60

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Solution

The fourth proportional to 278,328,954.40, 417,493,431.60 and 169,489,837.60 is: 254,234,756.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,328,954.40 : 417,493,431.60 = 169,489,837.60 : x
  2. Step 2: Convert to fraction form
    278,328,954.40/417,493,431.60 = 169,489,837.60/x
  3. Step 3: Cross multiply
    278,328,954.40x = 417,493,431.60 × 169,489,837.60
  4. Step 4: Simplify right side
    278,328,954.40x = 70,760,893,920,950,712
  5. Step 5: Solve for x
    x = 70,760,893,920,950,712/278,328,954.40
  6. Step 6: Final answer
    x = 254,234,756.40

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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.