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Finding the Fourth Proportional to 219,880.64, 303,435.87 and 119,278.64

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Solution

The fourth proportional to 219,880.64, 303,435.87 and 119,278.64 is: 164,604.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,880.64 : 303,435.87 = 119,278.64 : x
  2. Step 2: Convert to fraction form
    219,880.64/303,435.87 = 119,278.64/x
  3. Step 3: Cross multiply
    219,880.64x = 303,435.87 × 119,278.64
  4. Step 4: Simplify right side
    219,880.64x = 36,193,417,900.82
  5. Step 5: Solve for x
    x = 36,193,417,900.82/219,880.64
  6. Step 6: Final answer
    x = 164,604.84

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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.