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Finding the Fourth Proportional to 447,419.16, 670,986.48 and 147,843.84

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Solution

The fourth proportional to 447,419.16, 670,986.48 and 147,843.84 is: 221,718.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,419.16 : 670,986.48 = 147,843.84 : x
  2. Step 2: Convert to fraction form
    447,419.16/670,986.48 = 147,843.84/x
  3. Step 3: Cross multiply
    447,419.16x = 670,986.48 × 147,843.84
  4. Step 4: Simplify right side
    447,419.16x = 99,201,217,791.28
  5. Step 5: Solve for x
    x = 99,201,217,791.28/447,419.16
  6. Step 6: Final answer
    x = 221,718.75

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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.