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Finding the Fourth Proportional to 613,769.63, 921,140.45 and 259,028.51

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Solution

The fourth proportional to 613,769.63, 921,140.45 and 259,028.51 is: 388,747.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,769.63 : 921,140.45 = 259,028.51 : x
  2. Step 2: Convert to fraction form
    613,769.63/921,140.45 = 259,028.51/x
  3. Step 3: Cross multiply
    613,769.63x = 921,140.45 × 259,028.51
  4. Step 4: Simplify right side
    613,769.63x = 238,601,636,969.09
  5. Step 5: Solve for x
    x = 238,601,636,969.09/613,769.63
  6. Step 6: Final answer
    x = 388,747.87

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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.