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Finding the Fourth Proportional to 401,209.84, 552,665.73 and 305,550.46

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Solution

The fourth proportional to 401,209.84, 552,665.73 and 305,550.46 is: 420,895.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,209.84 : 552,665.73 = 305,550.46 : x
  2. Step 2: Convert to fraction form
    401,209.84/552,665.73 = 305,550.46/x
  3. Step 3: Cross multiply
    401,209.84x = 552,665.73 × 305,550.46
  4. Step 4: Simplify right side
    401,209.84x = 168,867,268,027.74
  5. Step 5: Solve for x
    x = 168,867,268,027.74/401,209.84
  6. Step 6: Final answer
    x = 420,895.13

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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.