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Finding the Fourth Proportional to 509,367.02, 764,049.71 and 135,390.02

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Solution

The fourth proportional to 509,367.02, 764,049.71 and 135,390.02 is: 203,084.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,367.02 : 764,049.71 = 135,390.02 : x
  2. Step 2: Convert to fraction form
    509,367.02/764,049.71 = 135,390.02/x
  3. Step 3: Cross multiply
    509,367.02x = 764,049.71 × 135,390.02
  4. Step 4: Simplify right side
    509,367.02x = 103,444,702,036.12
  5. Step 5: Solve for x
    x = 103,444,702,036.12/509,367.02
  6. Step 6: Final answer
    x = 203,084.81

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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.