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Finding the Fourth Proportional to 308,004, 462,190.32 and 132,900

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Solution

The fourth proportional to 308,004, 462,190.32 and 132,900 is: 199,429.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,004 : 462,190.32 = 132,900 : x
  2. Step 2: Convert to fraction form
    308,004/462,190.32 = 132,900/x
  3. Step 3: Cross multiply
    308,004x = 462,190.32 × 132,900
  4. Step 4: Simplify right side
    308,004x = 61,425,093,528
  5. Step 5: Solve for x
    x = 61,425,093,528/308,004
  6. Step 6: Final answer
    x = 199,429.53

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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.