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Finding the Fourth Proportional to 266,118,793.60, 399,178,190.40 and 194,455,177.60

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Solution

The fourth proportional to 266,118,793.60, 399,178,190.40 and 194,455,177.60 is: 291,682,766.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,118,793.60 : 399,178,190.40 = 194,455,177.60 : x
  2. Step 2: Convert to fraction form
    266,118,793.60/399,178,190.40 = 194,455,177.60/x
  3. Step 3: Cross multiply
    266,118,793.60x = 399,178,190.40 × 194,455,177.60
  4. Step 4: Simplify right side
    266,118,793.60x = 77,622,265,908,278,608
  5. Step 5: Solve for x
    x = 77,622,265,908,278,608/266,118,793.60
  6. Step 6: Final answer
    x = 291,682,766.40

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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.