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Finding the Fourth Proportional to 356,861.62, 492,512.78 and 205,958.62

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Solution

The fourth proportional to 356,861.62, 492,512.78 and 205,958.62 is: 284,248.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,861.62 : 492,512.78 = 205,958.62 : x
  2. Step 2: Convert to fraction form
    356,861.62/492,512.78 = 205,958.62/x
  3. Step 3: Cross multiply
    356,861.62x = 492,512.78 × 205,958.62
  4. Step 4: Simplify right side
    356,861.62x = 101,437,252,501.16
  5. Step 5: Solve for x
    x = 101,437,252,501.16/356,861.62
  6. Step 6: Final answer
    x = 284,248.14

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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.