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Finding the Fourth Proportional to 219,348.80, 328,821.60 and 219,214.40

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Solution

The fourth proportional to 219,348.80, 328,821.60 and 219,214.40 is: 328,620.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,348.80 : 328,821.60 = 219,214.40 : x
  2. Step 2: Convert to fraction form
    219,348.80/328,821.60 = 219,214.40/x
  3. Step 3: Cross multiply
    219,348.80x = 328,821.60 × 219,214.40
  4. Step 4: Simplify right side
    219,348.80x = 72,082,429,751.04
  5. Step 5: Solve for x
    x = 72,082,429,751.04/219,348.80
  6. Step 6: Final answer
    x = 328,620.12

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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.