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Finding the Fourth Proportional to 229,448, 316,638.24 and 128,846

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Solution

The fourth proportional to 229,448, 316,638.24 and 128,846 is: 177,807.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,448 : 316,638.24 = 128,846 : x
  2. Step 2: Convert to fraction form
    229,448/316,638.24 = 128,846/x
  3. Step 3: Cross multiply
    229,448x = 316,638.24 × 128,846
  4. Step 4: Simplify right side
    229,448x = 40,797,570,671.04
  5. Step 5: Solve for x
    x = 40,797,570,671.04/229,448
  6. Step 6: Final answer
    x = 177,807.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.