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Finding the Fourth Proportional to 229,446.72, 316,640.16 and 128,842.56

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Solution

The fourth proportional to 229,446.72, 316,640.16 and 128,842.56 is: 177,804.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,446.72 : 316,640.16 = 128,842.56 : x
  2. Step 2: Convert to fraction form
    229,446.72/316,640.16 = 128,842.56/x
  3. Step 3: Cross multiply
    229,446.72x = 316,640.16 × 128,842.56
  4. Step 4: Simplify right side
    229,446.72x = 40,796,728,813.21
  5. Step 5: Solve for x
    x = 40,796,728,813.21/229,446.72
  6. Step 6: Final answer
    x = 177,804.80

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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.