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Finding the Fourth Proportional to 262,322.40, 394,358.40 and 223,831.20

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Solution

The fourth proportional to 262,322.40, 394,358.40 and 223,831.20 is: 336,493.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,322.40 : 394,358.40 = 223,831.20 : x
  2. Step 2: Convert to fraction form
    262,322.40/394,358.40 = 223,831.20/x
  3. Step 3: Cross multiply
    262,322.40x = 394,358.40 × 223,831.20
  4. Step 4: Simplify right side
    262,322.40x = 88,269,713,902.08
  5. Step 5: Solve for x
    x = 88,269,713,902.08/262,322.40
  6. Step 6: Final answer
    x = 336,493.24

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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.