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Finding the Fourth Proportional to 509,906.58, 764,750.52 and 210,309.45

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Solution

The fourth proportional to 509,906.58, 764,750.52 and 210,309.45 is: 315,419.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,906.58 : 764,750.52 = 210,309.45 : x
  2. Step 2: Convert to fraction form
    509,906.58/764,750.52 = 210,309.45/x
  3. Step 3: Cross multiply
    509,906.58x = 764,750.52 × 210,309.45
  4. Step 4: Simplify right side
    509,906.58x = 160,834,261,248.41
  5. Step 5: Solve for x
    x = 160,834,261,248.41/509,906.58
  6. Step 6: Final answer
    x = 315,419.07

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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.