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Finding the Fourth Proportional to 289,831.50, 399,831.39 and 204,995.34

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Solution

The fourth proportional to 289,831.50, 399,831.39 and 204,995.34 is: 282,797.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,831.50 : 399,831.39 = 204,995.34 : x
  2. Step 2: Convert to fraction form
    289,831.50/399,831.39 = 204,995.34/x
  3. Step 3: Cross multiply
    289,831.50x = 399,831.39 × 204,995.34
  4. Step 4: Simplify right side
    289,831.50x = 81,963,571,735.72
  5. Step 5: Solve for x
    x = 81,963,571,735.72/289,831.50
  6. Step 6: Final answer
    x = 282,797.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.