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Finding the Fourth Proportional to 402,212.20, 603,491.10 and 205,220.20

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Solution

The fourth proportional to 402,212.20, 603,491.10 and 205,220.20 is: 307,918.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,212.20 : 603,491.10 = 205,220.20 : x
  2. Step 2: Convert to fraction form
    402,212.20/603,491.10 = 205,220.20/x
  3. Step 3: Cross multiply
    402,212.20x = 603,491.10 × 205,220.20
  4. Step 4: Simplify right side
    402,212.20x = 123,848,564,240.22
  5. Step 5: Solve for x
    x = 123,848,564,240.22/402,212.20
  6. Step 6: Final answer
    x = 307,918.47

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1.5x scale

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.