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Finding the Fourth Proportional to 509,296.05, 764,023.32 and 154,225.53

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Solution

The fourth proportional to 509,296.05, 764,023.32 and 154,225.53 is: 231,362.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,296.05 : 764,023.32 = 154,225.53 : x
  2. Step 2: Convert to fraction form
    509,296.05/764,023.32 = 154,225.53/x
  3. Step 3: Cross multiply
    509,296.05x = 764,023.32 × 154,225.53
  4. Step 4: Simplify right side
    509,296.05x = 117,831,901,459.36
  5. Step 5: Solve for x
    x = 117,831,901,459.36/509,296.05
  6. Step 6: Final answer
    x = 231,362.29

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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.