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Finding the Fourth Proportional to 265,969,881.60, 399,253,420.80 and 205,653,004.80

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Solution

The fourth proportional to 265,969,881.60, 399,253,420.80 and 205,653,004.80 is: 308,710,389.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,969,881.60 : 399,253,420.80 = 205,653,004.80 : x
  2. Step 2: Convert to fraction form
    265,969,881.60/399,253,420.80 = 205,653,004.80/x
  3. Step 3: Cross multiply
    265,969,881.60x = 399,253,420.80 × 205,653,004.80
  4. Step 4: Simplify right side
    265,969,881.60x = 82,107,665,664,198,832
  5. Step 5: Solve for x
    x = 82,107,665,664,198,832/265,969,881.60
  6. Step 6: Final answer
    x = 308,710,389.20

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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.