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Finding the Fourth Proportional to 536,543,999.80, 804,815,999.70 and 521,427,455.80

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Solution

The fourth proportional to 536,543,999.80, 804,815,999.70 and 521,427,455.80 is: 782,141,183.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,543,999.80 : 804,815,999.70 = 521,427,455.80 : x
  2. Step 2: Convert to fraction form
    536,543,999.80/804,815,999.70 = 521,427,455.80/x
  3. Step 3: Cross multiply
    536,543,999.80x = 804,815,999.70 × 521,427,455.80
  4. Step 4: Simplify right side
    536,543,999.80x = 419,653,159,110,704,576
  5. Step 5: Solve for x
    x = 419,653,159,110,704,576/536,543,999.80
  6. Step 6: Final answer
    x = 782,141,183.70

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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.