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Finding the Fourth Proportional to 384,134.58, 530,121.33 and 214,364.34

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Solution

The fourth proportional to 384,134.58, 530,121.33 and 214,364.34 is: 295,831.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,134.58 : 530,121.33 = 214,364.34 : x
  2. Step 2: Convert to fraction form
    384,134.58/530,121.33 = 214,364.34/x
  3. Step 3: Cross multiply
    384,134.58x = 530,121.33 × 214,364.34
  4. Step 4: Simplify right side
    384,134.58x = 113,639,109,025.37
  5. Step 5: Solve for x
    x = 113,639,109,025.37/384,134.58
  6. Step 6: Final answer
    x = 295,831.50

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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.