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Finding the Fourth Proportional to 356,881.28, 492,355.52 and 205,949.12

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Solution

The fourth proportional to 356,881.28, 492,355.52 and 205,949.12 is: 284,128.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,881.28 : 492,355.52 = 205,949.12 : x
  2. Step 2: Convert to fraction form
    356,881.28/492,355.52 = 205,949.12/x
  3. Step 3: Cross multiply
    356,881.28x = 492,355.52 × 205,949.12
  4. Step 4: Simplify right side
    356,881.28x = 101,400,186,071.14
  5. Step 5: Solve for x
    x = 101,400,186,071.14/356,881.28
  6. Step 6: Final answer
    x = 284,128.62

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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.