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Finding the Fourth Proportional to 219,219.80, 328,829.70 and 206,972.60

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Solution

The fourth proportional to 219,219.80, 328,829.70 and 206,972.60 is: 310,458.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,219.80 : 328,829.70 = 206,972.60 : x
  2. Step 2: Convert to fraction form
    219,219.80/328,829.70 = 206,972.60/x
  3. Step 3: Cross multiply
    219,219.80x = 328,829.70 × 206,972.60
  4. Step 4: Simplify right side
    219,219.80x = 68,058,737,966.22
  5. Step 5: Solve for x
    x = 68,058,737,966.22/219,219.80
  6. Step 6: Final answer
    x = 310,458.90

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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.