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Finding the Fourth Proportional to 322,721.70, 484,215 and 142,712.16

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Solution

The fourth proportional to 322,721.70, 484,215 and 142,712.16 is: 214,126.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,721.70 : 484,215 = 142,712.16 : x
  2. Step 2: Convert to fraction form
    322,721.70/484,215 = 142,712.16/x
  3. Step 3: Cross multiply
    322,721.70x = 484,215 × 142,712.16
  4. Step 4: Simplify right side
    322,721.70x = 69,103,368,554.40
  5. Step 5: Solve for x
    x = 69,103,368,554.40/322,721.70
  6. Step 6: Final answer
    x = 214,126.81

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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.