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Finding the Fourth Proportional to 220,474.65, 304,405.28 and 147,986.26

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Solution

The fourth proportional to 220,474.65, 304,405.28 and 147,986.26 is: 204,321.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,474.65 : 304,405.28 = 147,986.26 : x
  2. Step 2: Convert to fraction form
    220,474.65/304,405.28 = 147,986.26/x
  3. Step 3: Cross multiply
    220,474.65x = 304,405.28 × 147,986.26
  4. Step 4: Simplify right side
    220,474.65x = 45,047,798,911.45
  5. Step 5: Solve for x
    x = 45,047,798,911.45/220,474.65
  6. Step 6: Final answer
    x = 204,321.90

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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.