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Finding the Fourth Proportional to 218,465.64, 327,695.72 and 119,257.88

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Solution

The fourth proportional to 218,465.64, 327,695.72 and 119,257.88 is: 178,885.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,465.64 : 327,695.72 = 119,257.88 : x
  2. Step 2: Convert to fraction form
    218,465.64/327,695.72 = 119,257.88/x
  3. Step 3: Cross multiply
    218,465.64x = 327,695.72 × 119,257.88
  4. Step 4: Simplify right side
    218,465.64x = 39,080,294,617.51
  5. Step 5: Solve for x
    x = 39,080,294,617.51/218,465.64
  6. Step 6: Final answer
    x = 178,885.31

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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.