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Finding the Fourth Proportional to 219,324.40, 328,986.60 and 198,985.30

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Solution

The fourth proportional to 219,324.40, 328,986.60 and 198,985.30 is: 298,477.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,324.40 : 328,986.60 = 198,985.30 : x
  2. Step 2: Convert to fraction form
    219,324.40/328,986.60 = 198,985.30/x
  3. Step 3: Cross multiply
    219,324.40x = 328,986.60 × 198,985.30
  4. Step 4: Simplify right side
    219,324.40x = 65,463,497,296.98
  5. Step 5: Solve for x
    x = 65,463,497,296.98/219,324.40
  6. Step 6: Final answer
    x = 298,477.95

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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.