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Finding the Fourth Proportional to 368,435, 508,440.30 and 209,459

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Solution

The fourth proportional to 368,435, 508,440.30 and 209,459 is: 289,053.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,435 : 508,440.30 = 209,459 : x
  2. Step 2: Convert to fraction form
    368,435/508,440.30 = 209,459/x
  3. Step 3: Cross multiply
    368,435x = 508,440.30 × 209,459
  4. Step 4: Simplify right side
    368,435x = 106,497,396,797.70
  5. Step 5: Solve for x
    x = 106,497,396,797.70/368,435
  6. Step 6: Final answer
    x = 289,053.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.