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Finding the Fourth Proportional to 408,921.31, 613,448.54 and 120,762.10

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Solution

The fourth proportional to 408,921.31, 613,448.54 and 120,762.10 is: 181,162.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,921.31 : 613,448.54 = 120,762.10 : x
  2. Step 2: Convert to fraction form
    408,921.31/613,448.54 = 120,762.10/x
  3. Step 3: Cross multiply
    408,921.31x = 613,448.54 × 120,762.10
  4. Step 4: Simplify right side
    408,921.31x = 74,081,333,932.33
  5. Step 5: Solve for x
    x = 74,081,333,932.33/408,921.31
  6. Step 6: Final answer
    x = 181,162.81

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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.