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Finding the Fourth Proportional to 218,645.40, 327,530.70 and 147,786.60

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Solution

The fourth proportional to 218,645.40, 327,530.70 and 147,786.60 is: 221,384.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,645.40 : 327,530.70 = 147,786.60 : x
  2. Step 2: Convert to fraction form
    218,645.40/327,530.70 = 147,786.60/x
  3. Step 3: Cross multiply
    218,645.40x = 327,530.70 × 147,786.60
  4. Step 4: Simplify right side
    218,645.40x = 48,404,648,548.62
  5. Step 5: Solve for x
    x = 48,404,648,548.62/218,645.40
  6. Step 6: Final answer
    x = 221,384.25

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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.