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Finding the Fourth Proportional to 219,211.80, 328,817.70 and 199,858.20

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Solution

The fourth proportional to 219,211.80, 328,817.70 and 199,858.20 is: 299,787.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,211.80 : 328,817.70 = 199,858.20 : x
  2. Step 2: Convert to fraction form
    219,211.80/328,817.70 = 199,858.20/x
  3. Step 3: Cross multiply
    219,211.80x = 328,817.70 × 199,858.20
  4. Step 4: Simplify right side
    219,211.80x = 65,716,913,650.14
  5. Step 5: Solve for x
    x = 65,716,913,650.14/219,211.80
  6. Step 6: Final answer
    x = 299,787.30

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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.