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Finding the Fourth Proportional to 509,640.41, 764,465.22 and 154,654.43

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Solution

The fourth proportional to 509,640.41, 764,465.22 and 154,654.43 is: 231,983.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,640.41 : 764,465.22 = 154,654.43 : x
  2. Step 2: Convert to fraction form
    509,640.41/764,465.22 = 154,654.43/x
  3. Step 3: Cross multiply
    509,640.41x = 764,465.22 × 154,654.43
  4. Step 4: Simplify right side
    509,640.41x = 118,227,929,031.60
  5. Step 5: Solve for x
    x = 118,227,929,031.60/509,640.41
  6. Step 6: Final answer
    x = 231,983.03

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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.