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Finding the Fourth Proportional to 356,728, 492,284.64 and 205,825

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Solution

The fourth proportional to 356,728, 492,284.64 and 205,825 is: 284,038.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,728 : 492,284.64 = 205,825 : x
  2. Step 2: Convert to fraction form
    356,728/492,284.64 = 205,825/x
  3. Step 3: Cross multiply
    356,728x = 492,284.64 × 205,825
  4. Step 4: Simplify right side
    356,728x = 101,324,486,028
  5. Step 5: Solve for x
    x = 101,324,486,028/356,728
  6. Step 6: Final answer
    x = 284,038.50

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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.