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Finding the Fourth Proportional to 356,808.16, 492,391.20 and 205,901.92

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Solution

The fourth proportional to 356,808.16, 492,391.20 and 205,901.92 is: 284,142.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,808.16 : 492,391.20 = 205,901.92 : x
  2. Step 2: Convert to fraction form
    356,808.16/492,391.20 = 205,901.92/x
  3. Step 3: Cross multiply
    356,808.16x = 492,391.20 × 205,901.92
  4. Step 4: Simplify right side
    356,808.16x = 101,384,293,471.10
  5. Step 5: Solve for x
    x = 101,384,293,471.10/356,808.16
  6. Step 6: Final answer
    x = 284,142.31

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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.