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Finding the Fourth Proportional to 402,787,891.82, 604,181,996.87 and 181,200,404.50

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Solution

The fourth proportional to 402,787,891.82, 604,181,996.87 and 181,200,404.50 is: 271,800,678.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,787,891.82 : 604,181,996.87 = 181,200,404.50 : x
  2. Step 2: Convert to fraction form
    402,787,891.82/604,181,996.87 = 181,200,404.50/x
  3. Step 3: Cross multiply
    402,787,891.82x = 604,181,996.87 × 181,200,404.50
  4. Step 4: Simplify right side
    402,787,891.82x = 109,478,022,222,045,280
  5. Step 5: Solve for x
    x = 109,478,022,222,045,280/402,787,891.82
  6. Step 6: Final answer
    x = 271,800,678.33

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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.