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Finding the Fourth Proportional to 403,406,917.20, 605,110,375.80 and 403,406,917.20

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Solution

The fourth proportional to 403,406,917.20, 605,110,375.80 and 403,406,917.20 is: 605,110,375.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,406,917.20 : 605,110,375.80 = 403,406,917.20 : x
  2. Step 2: Convert to fraction form
    403,406,917.20/605,110,375.80 = 403,406,917.20/x
  3. Step 3: Cross multiply
    403,406,917.20x = 605,110,375.80 × 403,406,917.20
  4. Step 4: Simplify right side
    403,406,917.20x = 244,105,711,267,211,456
  5. Step 5: Solve for x
    x = 244,105,711,267,211,456/403,406,917.20
  6. Step 6: Final answer
    x = 605,110,375.80

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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.