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Finding the Fourth Proportional to 356,945.68, 492,502.44 and 213,651.28

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Solution

The fourth proportional to 356,945.68, 492,502.44 and 213,651.28 is: 294,789.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,945.68 : 492,502.44 = 213,651.28 : x
  2. Step 2: Convert to fraction form
    356,945.68/492,502.44 = 213,651.28/x
  3. Step 3: Cross multiply
    356,945.68x = 492,502.44 × 213,651.28
  4. Step 4: Simplify right side
    356,945.68x = 105,223,776,709.12
  5. Step 5: Solve for x
    x = 105,223,776,709.12/356,945.68
  6. Step 6: Final answer
    x = 294,789.33

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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.