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Finding the Fourth Proportional to 608,148, 839,270.16 and 339,876

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Solution

The fourth proportional to 608,148, 839,270.16 and 339,876 is: 469,043.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    608,148 : 839,270.16 = 339,876 : x
  2. Step 2: Convert to fraction form
    608,148/839,270.16 = 339,876/x
  3. Step 3: Cross multiply
    608,148x = 839,270.16 × 339,876
  4. Step 4: Simplify right side
    608,148x = 285,247,784,900.16
  5. Step 5: Solve for x
    x = 285,247,784,900.16/608,148
  6. Step 6: Final answer
    x = 469,043.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.