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Finding the Fourth Proportional to 356,852.20, 492,455.28 and 205,949.20

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Solution

The fourth proportional to 356,852.20, 492,455.28 and 205,949.20 is: 284,209.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,852.20 : 492,455.28 = 205,949.20 : x
  2. Step 2: Convert to fraction form
    356,852.20/492,455.28 = 205,949.20/x
  3. Step 3: Cross multiply
    356,852.20x = 492,455.28 × 205,949.20
  4. Step 4: Simplify right side
    356,852.20x = 101,420,770,951.78
  5. Step 5: Solve for x
    x = 101,420,770,951.78/356,852.20
  6. Step 6: Final answer
    x = 284,209.46

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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.