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Finding the Fourth Proportional to 647,918.44, 971,870.64 and 221,450.20

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Solution

The fourth proportional to 647,918.44, 971,870.64 and 221,450.20 is: 332,172.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,918.44 : 971,870.64 = 221,450.20 : x
  2. Step 2: Convert to fraction form
    647,918.44/971,870.64 = 221,450.20/x
  3. Step 3: Cross multiply
    647,918.44x = 971,870.64 × 221,450.20
  4. Step 4: Simplify right side
    647,918.44x = 215,220,947,602.13
  5. Step 5: Solve for x
    x = 215,220,947,602.13/647,918.44
  6. Step 6: Final answer
    x = 332,172.90

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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.