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Finding the Fourth Proportional to 406,959,773.30, 610,439,659.95 and 212,930,664.20

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Solution

The fourth proportional to 406,959,773.30, 610,439,659.95 and 212,930,664.20 is: 319,395,996.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,959,773.30 : 610,439,659.95 = 212,930,664.20 : x
  2. Step 2: Convert to fraction form
    406,959,773.30/610,439,659.95 = 212,930,664.20/x
  3. Step 3: Cross multiply
    406,959,773.30x = 610,439,659.95 × 212,930,664.20
  4. Step 4: Simplify right side
    406,959,773.30x = 129,981,322,247,175,648
  5. Step 5: Solve for x
    x = 129,981,322,247,175,648/406,959,773.30
  6. Step 6: Final answer
    x = 319,395,996.30

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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.