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Finding the Fourth Proportional to 219,319.90, 328,623.45 and 198,324.70

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Solution

The fourth proportional to 219,319.90, 328,623.45 and 198,324.70 is: 297,164.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,319.90 : 328,623.45 = 198,324.70 : x
  2. Step 2: Convert to fraction form
    219,319.90/328,623.45 = 198,324.70/x
  3. Step 3: Cross multiply
    219,319.90x = 328,623.45 × 198,324.70
  4. Step 4: Simplify right side
    219,319.90x = 65,174,147,134.22
  5. Step 5: Solve for x
    x = 65,174,147,134.22/219,319.90
  6. Step 6: Final answer
    x = 297,164.77

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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.