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Finding the Fourth Proportional to 480,329.93, 720,744.12 and 214,028.51

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Solution

The fourth proportional to 480,329.93, 720,744.12 and 214,028.51 is: 321,153.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    480,329.93 : 720,744.12 = 214,028.51 : x
  2. Step 2: Convert to fraction form
    480,329.93/720,744.12 = 214,028.51/x
  3. Step 3: Cross multiply
    480,329.93x = 720,744.12 × 214,028.51
  4. Step 4: Simplify right side
    480,329.93x = 154,259,789,996.54
  5. Step 5: Solve for x
    x = 154,259,789,996.54/480,329.93
  6. Step 6: Final answer
    x = 321,153.81

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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.