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Finding the Fourth Proportional to 402,212.70, 603,491.85 and 205,220.70

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Solution

The fourth proportional to 402,212.70, 603,491.85 and 205,220.70 is: 307,919.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,212.70 : 603,491.85 = 205,220.70 : x
  2. Step 2: Convert to fraction form
    402,212.70/603,491.85 = 205,220.70/x
  3. Step 3: Cross multiply
    402,212.70x = 603,491.85 × 205,220.70
  4. Step 4: Simplify right side
    402,212.70x = 123,849,019,901.30
  5. Step 5: Solve for x
    x = 123,849,019,901.30/402,212.70
  6. Step 6: Final answer
    x = 307,919.22

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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.