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Finding the Fourth Proportional to 266,543,999.90, 399,815,999.85 and 84,809,548.70

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Solution

The fourth proportional to 266,543,999.90, 399,815,999.85 and 84,809,548.70 is: 127,214,323.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,543,999.90 : 399,815,999.85 = 84,809,548.70 : x
  2. Step 2: Convert to fraction form
    266,543,999.90/399,815,999.85 = 84,809,548.70/x
  3. Step 3: Cross multiply
    266,543,999.90x = 399,815,999.85 × 84,809,548.70
  4. Step 4: Simplify right side
    266,543,999.90x = 33,908,214,510,317,772
  5. Step 5: Solve for x
    x = 33,908,214,510,317,772/266,543,999.90
  6. Step 6: Final answer
    x = 127,214,323.05

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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.