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Finding the Fourth Proportional to 308,010, 462,199.32 and 132,906

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Solution

The fourth proportional to 308,010, 462,199.32 and 132,906 is: 199,438.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,010 : 462,199.32 = 132,906 : x
  2. Step 2: Convert to fraction form
    308,010/462,199.32 = 132,906/x
  3. Step 3: Cross multiply
    308,010x = 462,199.32 × 132,906
  4. Step 4: Simplify right side
    308,010x = 61,429,062,823.92
  5. Step 5: Solve for x
    x = 61,429,062,823.92/308,010
  6. Step 6: Final answer
    x = 199,438.53

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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.