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Finding the Fourth Proportional to 543,223.40, 814,831.05 and 164,143.40

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Solution

The fourth proportional to 543,223.40, 814,831.05 and 164,143.40 is: 246,213.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,223.40 : 814,831.05 = 164,143.40 : x
  2. Step 2: Convert to fraction form
    543,223.40/814,831.05 = 164,143.40/x
  3. Step 3: Cross multiply
    543,223.40x = 814,831.05 × 164,143.40
  4. Step 4: Simplify right side
    543,223.40x = 133,749,138,972.57
  5. Step 5: Solve for x
    x = 133,749,138,972.57/543,223.40
  6. Step 6: Final answer
    x = 246,213.88

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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.