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Finding the Fourth Proportional to 401,409.68, 553,940.79 and 231,640.16

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Solution

The fourth proportional to 401,409.68, 553,940.79 and 231,640.16 is: 319,660.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,409.68 : 553,940.79 = 231,640.16 : x
  2. Step 2: Convert to fraction form
    401,409.68/553,940.79 = 231,640.16/x
  3. Step 3: Cross multiply
    401,409.68x = 553,940.79 × 231,640.16
  4. Step 4: Simplify right side
    401,409.68x = 128,314,933,226.13
  5. Step 5: Solve for x
    x = 128,314,933,226.13/401,409.68
  6. Step 6: Final answer
    x = 319,660.78

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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.