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Finding the Fourth Proportional to 412,792.32, 618,983.28 and 132,273.12

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Solution

The fourth proportional to 412,792.32, 618,983.28 and 132,273.12 is: 198,343.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,792.32 : 618,983.28 = 132,273.12 : x
  2. Step 2: Convert to fraction form
    412,792.32/618,983.28 = 132,273.12/x
  3. Step 3: Cross multiply
    412,792.32x = 618,983.28 × 132,273.12
  4. Step 4: Simplify right side
    412,792.32x = 81,874,849,673.43
  5. Step 5: Solve for x
    x = 81,874,849,673.43/412,792.32
  6. Step 6: Final answer
    x = 198,343.93

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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.