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Finding the Fourth Proportional to 447,638.34, 670,858.59 and 219,585.30

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Solution

The fourth proportional to 447,638.34, 670,858.59 and 219,585.30 is: 329,084.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,638.34 : 670,858.59 = 219,585.30 : x
  2. Step 2: Convert to fraction form
    447,638.34/670,858.59 = 219,585.30/x
  3. Step 3: Cross multiply
    447,638.34x = 670,858.59 × 219,585.30
  4. Step 4: Simplify right side
    447,638.34x = 147,310,684,742.73
  5. Step 5: Solve for x
    x = 147,310,684,742.73/447,638.34
  6. Step 6: Final answer
    x = 329,084.15

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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.