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Finding the Fourth Proportional to 510,607,635.60, 764,777,712.60 and 419,908,371.60

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Solution

The fourth proportional to 510,607,635.60, 764,777,712.60 and 419,908,371.60 is: 628,930,203.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,607,635.60 : 764,777,712.60 = 419,908,371.60 : x
  2. Step 2: Convert to fraction form
    510,607,635.60/764,777,712.60 = 419,908,371.60/x
  3. Step 3: Cross multiply
    510,607,635.60x = 764,777,712.60 × 419,908,371.60
  4. Step 4: Simplify right side
    510,607,635.60x = 321,136,563,933,838,848
  5. Step 5: Solve for x
    x = 321,136,563,933,838,848/510,607,635.60
  6. Step 6: Final answer
    x = 628,930,203.04

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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.