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Finding the Fourth Proportional to 1,215,831.02, 1,822,251.62 and 682,230.96

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Solution

The fourth proportional to 1,215,831.02, 1,822,251.62 and 682,230.96 is: 1,022,507.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,215,831.02 : 1,822,251.62 = 682,230.96 : x
  2. Step 2: Convert to fraction form
    1,215,831.02/1,822,251.62 = 682,230.96/x
  3. Step 3: Cross multiply
    1,215,831.02x = 1,822,251.62 × 682,230.96
  4. Step 4: Simplify right side
    1,215,831.02x = 1,243,196,468,663.00
  5. Step 5: Solve for x
    x = 1,243,196,468,663.00/1,215,831.02
  6. Step 6: Final answer
    x = 1,022,507.61

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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.