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Finding the Fourth Proportional to 509,530.14, 764,294.31 and 135,553.14

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Solution

The fourth proportional to 509,530.14, 764,294.31 and 135,553.14 is: 203,329.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,530.14 : 764,294.31 = 135,553.14 : x
  2. Step 2: Convert to fraction form
    509,530.14/764,294.31 = 135,553.14/x
  3. Step 3: Cross multiply
    509,530.14x = 764,294.31 × 135,553.14
  4. Step 4: Simplify right side
    509,530.14x = 103,602,493,604.63
  5. Step 5: Solve for x
    x = 103,602,493,604.63/509,530.14
  6. Step 6: Final answer
    x = 203,329.47

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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.