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Finding the Fourth Proportional to 377,002.20, 565,503.30 and 216,913.80

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Solution

The fourth proportional to 377,002.20, 565,503.30 and 216,913.80 is: 325,370.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,002.20 : 565,503.30 = 216,913.80 : x
  2. Step 2: Convert to fraction form
    377,002.20/565,503.30 = 216,913.80/x
  3. Step 3: Cross multiply
    377,002.20x = 565,503.30 × 216,913.80
  4. Step 4: Simplify right side
    377,002.20x = 122,665,469,715.54
  5. Step 5: Solve for x
    x = 122,665,469,715.54/377,002.20
  6. Step 6: Final answer
    x = 325,370.70

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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.